43
Rosetta_CD\PR\what_is_RS.ppt, 20.06.22 15:54AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann, M.Pätzold ESAC June 2008

Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

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Page 1: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

ppt

19

04

23 1

153

AM

1

Mars Express Radio Science Experiment MaRS

MaRS Radio Science DataLevel 3 amp 4

The retrieval

STellmann MPaumltzold

ESACJune 2008

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

2

Overview

LEVEL 3 bull The data preparation bull Calculation of bending angle and rayparameterbull The Abel Transformation

LEVEL 4bull The Neutral Atmosphere

bull Calculation ofbull Densitybull Temperaturebull Pressure

bull The Ionospherebull Calculation of the electron density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

3

Level 3Retrieval of the Refractivity and the Radius

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

4

Level 3 Data Processing Flow ChartInput Level 2 residual

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

5

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

6

Starting Point Residual

bull Starting point Level 2 residual

Offset

Offset (andor trend) Reason Uncertainties in Orbit

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

7

Baseline Fit Correction

bull Starting point Level 2 residual

Offset

range for baseline fit

radius ~ 4000 km

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

8

Residual after Correction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

9

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

10

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

11

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Measurement geometry must be known

Occultation Plane containing bull Groundstationbull Planetbull Spacecraft

given by

z vector from groundstation to planet

r vector perpendicular to z and in this OCC plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

12

Occultation (OCC) plane

Radio Link

MEX orbit

OCC plane at time tm

Earth direction

Calculation of state vectors for every measurement sample

PMEXVMEX

PGSVGS

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

13

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

14

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Solve equations from [Fjeldbo et al 1971]

B ( ) = ( )

whereb11 = -vrs sin(e ndash r) + vzs cos(e ndash r)

b12 = -vrt cos(s ndash r) + vzt sin(s ndash r)b21 = (rs+ zs)12 sin(be ndash ndash r)b22 = zt cos(s ndash r)

k1 = c ffs + vrs[cos(e ndash r) ndash cose] + vzs[sin(e ndash r) ndash sine] - vrt[sin(s ndash r) ndash sins] ndash vzt[cos(s ndash r) ndash coss]k2 = zt sin(s ndash r) + (rs

2-zs2)12 sin(e ndash ndash r)

r

r

k1

k2

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

15

bending angle = r + r

rayparameter a = (rs

2 + zs2)12 sin(e ndash r ndash )

Calculation of Bending angle amp Rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

16

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

17

Calculation of Refractivity amp Radius

ln r01

1

a

aa1

ada

a2 a21

12

n 1

106

Refractive index n n

Refractivity

Radius r r01 a1

n

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

18Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

19Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral INTEGRALIntegration routine able to handle the pole

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

20

Calculation of Refractivityra

diu

s [k

m]

Bending Angle Refractivity

Abeltransform

Bending angle [deg 106 ]

Refraktivitaumlt [deg 106 ]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

21

The Occultation Footpoints

x

Occultation footpointMoving over the surface of Mars

Spacecraft

Earth direction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

22

The Occultation Footpoints

bull Calculation of intersection point of ray asymptotes using spherical symmetrybull Transformation of this vector into planetary coordinates (lat lon) for every measurement value

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

23

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Main Output Refractivity Radius amp OCC Footpoints

Calculation of Occultation Footpoints

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

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19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 2: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

2

Overview

LEVEL 3 bull The data preparation bull Calculation of bending angle and rayparameterbull The Abel Transformation

LEVEL 4bull The Neutral Atmosphere

bull Calculation ofbull Densitybull Temperaturebull Pressure

bull The Ionospherebull Calculation of the electron density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

3

Level 3Retrieval of the Refractivity and the Radius

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

4

Level 3 Data Processing Flow ChartInput Level 2 residual

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

5

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

6

Starting Point Residual

bull Starting point Level 2 residual

Offset

Offset (andor trend) Reason Uncertainties in Orbit

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

7

Baseline Fit Correction

bull Starting point Level 2 residual

Offset

range for baseline fit

radius ~ 4000 km

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

8

Residual after Correction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

9

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

10

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

11

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Measurement geometry must be known

Occultation Plane containing bull Groundstationbull Planetbull Spacecraft

given by

z vector from groundstation to planet

r vector perpendicular to z and in this OCC plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

12

Occultation (OCC) plane

Radio Link

MEX orbit

OCC plane at time tm

Earth direction

Calculation of state vectors for every measurement sample

PMEXVMEX

PGSVGS

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

13

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

14

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Solve equations from [Fjeldbo et al 1971]

B ( ) = ( )

whereb11 = -vrs sin(e ndash r) + vzs cos(e ndash r)

b12 = -vrt cos(s ndash r) + vzt sin(s ndash r)b21 = (rs+ zs)12 sin(be ndash ndash r)b22 = zt cos(s ndash r)

k1 = c ffs + vrs[cos(e ndash r) ndash cose] + vzs[sin(e ndash r) ndash sine] - vrt[sin(s ndash r) ndash sins] ndash vzt[cos(s ndash r) ndash coss]k2 = zt sin(s ndash r) + (rs

2-zs2)12 sin(e ndash ndash r)

r

r

k1

k2

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

15

bending angle = r + r

rayparameter a = (rs

2 + zs2)12 sin(e ndash r ndash )

Calculation of Bending angle amp Rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

16

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

17

Calculation of Refractivity amp Radius

ln r01

1

a

aa1

ada

a2 a21

12

n 1

106

Refractive index n n

Refractivity

Radius r r01 a1

n

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

18Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

19Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral INTEGRALIntegration routine able to handle the pole

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

20

Calculation of Refractivityra

diu

s [k

m]

Bending Angle Refractivity

Abeltransform

Bending angle [deg 106 ]

Refraktivitaumlt [deg 106 ]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

21

The Occultation Footpoints

x

Occultation footpointMoving over the surface of Mars

Spacecraft

Earth direction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

22

The Occultation Footpoints

bull Calculation of intersection point of ray asymptotes using spherical symmetrybull Transformation of this vector into planetary coordinates (lat lon) for every measurement value

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

23

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Main Output Refractivity Radius amp OCC Footpoints

Calculation of Occultation Footpoints

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 3: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

3

Level 3Retrieval of the Refractivity and the Radius

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

4

Level 3 Data Processing Flow ChartInput Level 2 residual

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

5

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

6

Starting Point Residual

bull Starting point Level 2 residual

Offset

Offset (andor trend) Reason Uncertainties in Orbit

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

7

Baseline Fit Correction

bull Starting point Level 2 residual

Offset

range for baseline fit

radius ~ 4000 km

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

8

Residual after Correction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

9

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

10

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

11

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Measurement geometry must be known

Occultation Plane containing bull Groundstationbull Planetbull Spacecraft

given by

z vector from groundstation to planet

r vector perpendicular to z and in this OCC plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

12

Occultation (OCC) plane

Radio Link

MEX orbit

OCC plane at time tm

Earth direction

Calculation of state vectors for every measurement sample

PMEXVMEX

PGSVGS

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

13

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

14

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Solve equations from [Fjeldbo et al 1971]

B ( ) = ( )

whereb11 = -vrs sin(e ndash r) + vzs cos(e ndash r)

b12 = -vrt cos(s ndash r) + vzt sin(s ndash r)b21 = (rs+ zs)12 sin(be ndash ndash r)b22 = zt cos(s ndash r)

k1 = c ffs + vrs[cos(e ndash r) ndash cose] + vzs[sin(e ndash r) ndash sine] - vrt[sin(s ndash r) ndash sins] ndash vzt[cos(s ndash r) ndash coss]k2 = zt sin(s ndash r) + (rs

2-zs2)12 sin(e ndash ndash r)

r

r

k1

k2

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

15

bending angle = r + r

rayparameter a = (rs

2 + zs2)12 sin(e ndash r ndash )

Calculation of Bending angle amp Rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

16

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

17

Calculation of Refractivity amp Radius

ln r01

1

a

aa1

ada

a2 a21

12

n 1

106

Refractive index n n

Refractivity

Radius r r01 a1

n

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

18Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

19Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral INTEGRALIntegration routine able to handle the pole

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

20

Calculation of Refractivityra

diu

s [k

m]

Bending Angle Refractivity

Abeltransform

Bending angle [deg 106 ]

Refraktivitaumlt [deg 106 ]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

21

The Occultation Footpoints

x

Occultation footpointMoving over the surface of Mars

Spacecraft

Earth direction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

22

The Occultation Footpoints

bull Calculation of intersection point of ray asymptotes using spherical symmetrybull Transformation of this vector into planetary coordinates (lat lon) for every measurement value

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

23

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Main Output Refractivity Radius amp OCC Footpoints

Calculation of Occultation Footpoints

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

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19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

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19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

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19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

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19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 4: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

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042

3 11

53A

M

4

Level 3 Data Processing Flow ChartInput Level 2 residual

Ros

etta

_CD

PR

wha

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_RS

_v4

ppt

19

042

3 11

53A

M

5

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

6

Starting Point Residual

bull Starting point Level 2 residual

Offset

Offset (andor trend) Reason Uncertainties in Orbit

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

7

Baseline Fit Correction

bull Starting point Level 2 residual

Offset

range for baseline fit

radius ~ 4000 km

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

8

Residual after Correction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

9

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

10

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

11

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Measurement geometry must be known

Occultation Plane containing bull Groundstationbull Planetbull Spacecraft

given by

z vector from groundstation to planet

r vector perpendicular to z and in this OCC plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

12

Occultation (OCC) plane

Radio Link

MEX orbit

OCC plane at time tm

Earth direction

Calculation of state vectors for every measurement sample

PMEXVMEX

PGSVGS

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

13

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

14

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Solve equations from [Fjeldbo et al 1971]

B ( ) = ( )

whereb11 = -vrs sin(e ndash r) + vzs cos(e ndash r)

b12 = -vrt cos(s ndash r) + vzt sin(s ndash r)b21 = (rs+ zs)12 sin(be ndash ndash r)b22 = zt cos(s ndash r)

k1 = c ffs + vrs[cos(e ndash r) ndash cose] + vzs[sin(e ndash r) ndash sine] - vrt[sin(s ndash r) ndash sins] ndash vzt[cos(s ndash r) ndash coss]k2 = zt sin(s ndash r) + (rs

2-zs2)12 sin(e ndash ndash r)

r

r

k1

k2

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

15

bending angle = r + r

rayparameter a = (rs

2 + zs2)12 sin(e ndash r ndash )

Calculation of Bending angle amp Rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

16

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

17

Calculation of Refractivity amp Radius

ln r01

1

a

aa1

ada

a2 a21

12

n 1

106

Refractive index n n

Refractivity

Radius r r01 a1

n

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

18Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

19Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral INTEGRALIntegration routine able to handle the pole

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

20

Calculation of Refractivityra

diu

s [k

m]

Bending Angle Refractivity

Abeltransform

Bending angle [deg 106 ]

Refraktivitaumlt [deg 106 ]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

21

The Occultation Footpoints

x

Occultation footpointMoving over the surface of Mars

Spacecraft

Earth direction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

22

The Occultation Footpoints

bull Calculation of intersection point of ray asymptotes using spherical symmetrybull Transformation of this vector into planetary coordinates (lat lon) for every measurement value

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

23

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Main Output Refractivity Radius amp OCC Footpoints

Calculation of Occultation Footpoints

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 5: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

5

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

6

Starting Point Residual

bull Starting point Level 2 residual

Offset

Offset (andor trend) Reason Uncertainties in Orbit

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

7

Baseline Fit Correction

bull Starting point Level 2 residual

Offset

range for baseline fit

radius ~ 4000 km

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

8

Residual after Correction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

9

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

10

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

11

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Measurement geometry must be known

Occultation Plane containing bull Groundstationbull Planetbull Spacecraft

given by

z vector from groundstation to planet

r vector perpendicular to z and in this OCC plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

12

Occultation (OCC) plane

Radio Link

MEX orbit

OCC plane at time tm

Earth direction

Calculation of state vectors for every measurement sample

PMEXVMEX

PGSVGS

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

13

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

14

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Solve equations from [Fjeldbo et al 1971]

B ( ) = ( )

whereb11 = -vrs sin(e ndash r) + vzs cos(e ndash r)

b12 = -vrt cos(s ndash r) + vzt sin(s ndash r)b21 = (rs+ zs)12 sin(be ndash ndash r)b22 = zt cos(s ndash r)

k1 = c ffs + vrs[cos(e ndash r) ndash cose] + vzs[sin(e ndash r) ndash sine] - vrt[sin(s ndash r) ndash sins] ndash vzt[cos(s ndash r) ndash coss]k2 = zt sin(s ndash r) + (rs

2-zs2)12 sin(e ndash ndash r)

r

r

k1

k2

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

15

bending angle = r + r

rayparameter a = (rs

2 + zs2)12 sin(e ndash r ndash )

Calculation of Bending angle amp Rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

16

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

17

Calculation of Refractivity amp Radius

ln r01

1

a

aa1

ada

a2 a21

12

n 1

106

Refractive index n n

Refractivity

Radius r r01 a1

n

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

18Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

19Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral INTEGRALIntegration routine able to handle the pole

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

20

Calculation of Refractivityra

diu

s [k

m]

Bending Angle Refractivity

Abeltransform

Bending angle [deg 106 ]

Refraktivitaumlt [deg 106 ]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

21

The Occultation Footpoints

x

Occultation footpointMoving over the surface of Mars

Spacecraft

Earth direction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

22

The Occultation Footpoints

bull Calculation of intersection point of ray asymptotes using spherical symmetrybull Transformation of this vector into planetary coordinates (lat lon) for every measurement value

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

23

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Main Output Refractivity Radius amp OCC Footpoints

Calculation of Occultation Footpoints

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 6: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

6

Starting Point Residual

bull Starting point Level 2 residual

Offset

Offset (andor trend) Reason Uncertainties in Orbit

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

7

Baseline Fit Correction

bull Starting point Level 2 residual

Offset

range for baseline fit

radius ~ 4000 km

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

8

Residual after Correction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

9

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

10

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

11

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Measurement geometry must be known

Occultation Plane containing bull Groundstationbull Planetbull Spacecraft

given by

z vector from groundstation to planet

r vector perpendicular to z and in this OCC plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

12

Occultation (OCC) plane

Radio Link

MEX orbit

OCC plane at time tm

Earth direction

Calculation of state vectors for every measurement sample

PMEXVMEX

PGSVGS

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

13

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

14

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Solve equations from [Fjeldbo et al 1971]

B ( ) = ( )

whereb11 = -vrs sin(e ndash r) + vzs cos(e ndash r)

b12 = -vrt cos(s ndash r) + vzt sin(s ndash r)b21 = (rs+ zs)12 sin(be ndash ndash r)b22 = zt cos(s ndash r)

k1 = c ffs + vrs[cos(e ndash r) ndash cose] + vzs[sin(e ndash r) ndash sine] - vrt[sin(s ndash r) ndash sins] ndash vzt[cos(s ndash r) ndash coss]k2 = zt sin(s ndash r) + (rs

2-zs2)12 sin(e ndash ndash r)

r

r

k1

k2

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

15

bending angle = r + r

rayparameter a = (rs

2 + zs2)12 sin(e ndash r ndash )

Calculation of Bending angle amp Rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

16

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

17

Calculation of Refractivity amp Radius

ln r01

1

a

aa1

ada

a2 a21

12

n 1

106

Refractive index n n

Refractivity

Radius r r01 a1

n

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

18Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

19Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral INTEGRALIntegration routine able to handle the pole

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

20

Calculation of Refractivityra

diu

s [k

m]

Bending Angle Refractivity

Abeltransform

Bending angle [deg 106 ]

Refraktivitaumlt [deg 106 ]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

21

The Occultation Footpoints

x

Occultation footpointMoving over the surface of Mars

Spacecraft

Earth direction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

22

The Occultation Footpoints

bull Calculation of intersection point of ray asymptotes using spherical symmetrybull Transformation of this vector into planetary coordinates (lat lon) for every measurement value

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

23

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Main Output Refractivity Radius amp OCC Footpoints

Calculation of Occultation Footpoints

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 7: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

7

Baseline Fit Correction

bull Starting point Level 2 residual

Offset

range for baseline fit

radius ~ 4000 km

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

8

Residual after Correction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

9

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

10

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

11

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Measurement geometry must be known

Occultation Plane containing bull Groundstationbull Planetbull Spacecraft

given by

z vector from groundstation to planet

r vector perpendicular to z and in this OCC plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

12

Occultation (OCC) plane

Radio Link

MEX orbit

OCC plane at time tm

Earth direction

Calculation of state vectors for every measurement sample

PMEXVMEX

PGSVGS

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

13

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

14

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Solve equations from [Fjeldbo et al 1971]

B ( ) = ( )

whereb11 = -vrs sin(e ndash r) + vzs cos(e ndash r)

b12 = -vrt cos(s ndash r) + vzt sin(s ndash r)b21 = (rs+ zs)12 sin(be ndash ndash r)b22 = zt cos(s ndash r)

k1 = c ffs + vrs[cos(e ndash r) ndash cose] + vzs[sin(e ndash r) ndash sine] - vrt[sin(s ndash r) ndash sins] ndash vzt[cos(s ndash r) ndash coss]k2 = zt sin(s ndash r) + (rs

2-zs2)12 sin(e ndash ndash r)

r

r

k1

k2

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

15

bending angle = r + r

rayparameter a = (rs

2 + zs2)12 sin(e ndash r ndash )

Calculation of Bending angle amp Rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

16

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

17

Calculation of Refractivity amp Radius

ln r01

1

a

aa1

ada

a2 a21

12

n 1

106

Refractive index n n

Refractivity

Radius r r01 a1

n

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

18Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

19Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral INTEGRALIntegration routine able to handle the pole

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

20

Calculation of Refractivityra

diu

s [k

m]

Bending Angle Refractivity

Abeltransform

Bending angle [deg 106 ]

Refraktivitaumlt [deg 106 ]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

21

The Occultation Footpoints

x

Occultation footpointMoving over the surface of Mars

Spacecraft

Earth direction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

22

The Occultation Footpoints

bull Calculation of intersection point of ray asymptotes using spherical symmetrybull Transformation of this vector into planetary coordinates (lat lon) for every measurement value

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

23

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Main Output Refractivity Radius amp OCC Footpoints

Calculation of Occultation Footpoints

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 8: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

8

Residual after Correction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

9

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

10

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

11

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Measurement geometry must be known

Occultation Plane containing bull Groundstationbull Planetbull Spacecraft

given by

z vector from groundstation to planet

r vector perpendicular to z and in this OCC plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

12

Occultation (OCC) plane

Radio Link

MEX orbit

OCC plane at time tm

Earth direction

Calculation of state vectors for every measurement sample

PMEXVMEX

PGSVGS

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

13

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

14

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Solve equations from [Fjeldbo et al 1971]

B ( ) = ( )

whereb11 = -vrs sin(e ndash r) + vzs cos(e ndash r)

b12 = -vrt cos(s ndash r) + vzt sin(s ndash r)b21 = (rs+ zs)12 sin(be ndash ndash r)b22 = zt cos(s ndash r)

k1 = c ffs + vrs[cos(e ndash r) ndash cose] + vzs[sin(e ndash r) ndash sine] - vrt[sin(s ndash r) ndash sins] ndash vzt[cos(s ndash r) ndash coss]k2 = zt sin(s ndash r) + (rs

2-zs2)12 sin(e ndash ndash r)

r

r

k1

k2

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

15

bending angle = r + r

rayparameter a = (rs

2 + zs2)12 sin(e ndash r ndash )

Calculation of Bending angle amp Rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

16

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

17

Calculation of Refractivity amp Radius

ln r01

1

a

aa1

ada

a2 a21

12

n 1

106

Refractive index n n

Refractivity

Radius r r01 a1

n

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

18Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

19Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral INTEGRALIntegration routine able to handle the pole

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

20

Calculation of Refractivityra

diu

s [k

m]

Bending Angle Refractivity

Abeltransform

Bending angle [deg 106 ]

Refraktivitaumlt [deg 106 ]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

21

The Occultation Footpoints

x

Occultation footpointMoving over the surface of Mars

Spacecraft

Earth direction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

22

The Occultation Footpoints

bull Calculation of intersection point of ray asymptotes using spherical symmetrybull Transformation of this vector into planetary coordinates (lat lon) for every measurement value

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

23

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Main Output Refractivity Radius amp OCC Footpoints

Calculation of Occultation Footpoints

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 9: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

9

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

10

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

11

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Measurement geometry must be known

Occultation Plane containing bull Groundstationbull Planetbull Spacecraft

given by

z vector from groundstation to planet

r vector perpendicular to z and in this OCC plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

12

Occultation (OCC) plane

Radio Link

MEX orbit

OCC plane at time tm

Earth direction

Calculation of state vectors for every measurement sample

PMEXVMEX

PGSVGS

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

13

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

14

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Solve equations from [Fjeldbo et al 1971]

B ( ) = ( )

whereb11 = -vrs sin(e ndash r) + vzs cos(e ndash r)

b12 = -vrt cos(s ndash r) + vzt sin(s ndash r)b21 = (rs+ zs)12 sin(be ndash ndash r)b22 = zt cos(s ndash r)

k1 = c ffs + vrs[cos(e ndash r) ndash cose] + vzs[sin(e ndash r) ndash sine] - vrt[sin(s ndash r) ndash sins] ndash vzt[cos(s ndash r) ndash coss]k2 = zt sin(s ndash r) + (rs

2-zs2)12 sin(e ndash ndash r)

r

r

k1

k2

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

15

bending angle = r + r

rayparameter a = (rs

2 + zs2)12 sin(e ndash r ndash )

Calculation of Bending angle amp Rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

16

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

17

Calculation of Refractivity amp Radius

ln r01

1

a

aa1

ada

a2 a21

12

n 1

106

Refractive index n n

Refractivity

Radius r r01 a1

n

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

18Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

19Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral INTEGRALIntegration routine able to handle the pole

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

20

Calculation of Refractivityra

diu

s [k

m]

Bending Angle Refractivity

Abeltransform

Bending angle [deg 106 ]

Refraktivitaumlt [deg 106 ]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

21

The Occultation Footpoints

x

Occultation footpointMoving over the surface of Mars

Spacecraft

Earth direction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

22

The Occultation Footpoints

bull Calculation of intersection point of ray asymptotes using spherical symmetrybull Transformation of this vector into planetary coordinates (lat lon) for every measurement value

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

23

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Main Output Refractivity Radius amp OCC Footpoints

Calculation of Occultation Footpoints

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 10: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

10

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

11

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Measurement geometry must be known

Occultation Plane containing bull Groundstationbull Planetbull Spacecraft

given by

z vector from groundstation to planet

r vector perpendicular to z and in this OCC plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

12

Occultation (OCC) plane

Radio Link

MEX orbit

OCC plane at time tm

Earth direction

Calculation of state vectors for every measurement sample

PMEXVMEX

PGSVGS

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

13

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

14

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Solve equations from [Fjeldbo et al 1971]

B ( ) = ( )

whereb11 = -vrs sin(e ndash r) + vzs cos(e ndash r)

b12 = -vrt cos(s ndash r) + vzt sin(s ndash r)b21 = (rs+ zs)12 sin(be ndash ndash r)b22 = zt cos(s ndash r)

k1 = c ffs + vrs[cos(e ndash r) ndash cose] + vzs[sin(e ndash r) ndash sine] - vrt[sin(s ndash r) ndash sins] ndash vzt[cos(s ndash r) ndash coss]k2 = zt sin(s ndash r) + (rs

2-zs2)12 sin(e ndash ndash r)

r

r

k1

k2

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

15

bending angle = r + r

rayparameter a = (rs

2 + zs2)12 sin(e ndash r ndash )

Calculation of Bending angle amp Rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

16

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

17

Calculation of Refractivity amp Radius

ln r01

1

a

aa1

ada

a2 a21

12

n 1

106

Refractive index n n

Refractivity

Radius r r01 a1

n

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

18Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

19Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral INTEGRALIntegration routine able to handle the pole

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

20

Calculation of Refractivityra

diu

s [k

m]

Bending Angle Refractivity

Abeltransform

Bending angle [deg 106 ]

Refraktivitaumlt [deg 106 ]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

21

The Occultation Footpoints

x

Occultation footpointMoving over the surface of Mars

Spacecraft

Earth direction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

22

The Occultation Footpoints

bull Calculation of intersection point of ray asymptotes using spherical symmetrybull Transformation of this vector into planetary coordinates (lat lon) for every measurement value

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

23

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Main Output Refractivity Radius amp OCC Footpoints

Calculation of Occultation Footpoints

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 11: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

11

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Measurement geometry must be known

Occultation Plane containing bull Groundstationbull Planetbull Spacecraft

given by

z vector from groundstation to planet

r vector perpendicular to z and in this OCC plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

12

Occultation (OCC) plane

Radio Link

MEX orbit

OCC plane at time tm

Earth direction

Calculation of state vectors for every measurement sample

PMEXVMEX

PGSVGS

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

13

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

14

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Solve equations from [Fjeldbo et al 1971]

B ( ) = ( )

whereb11 = -vrs sin(e ndash r) + vzs cos(e ndash r)

b12 = -vrt cos(s ndash r) + vzt sin(s ndash r)b21 = (rs+ zs)12 sin(be ndash ndash r)b22 = zt cos(s ndash r)

k1 = c ffs + vrs[cos(e ndash r) ndash cose] + vzs[sin(e ndash r) ndash sine] - vrt[sin(s ndash r) ndash sins] ndash vzt[cos(s ndash r) ndash coss]k2 = zt sin(s ndash r) + (rs

2-zs2)12 sin(e ndash ndash r)

r

r

k1

k2

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

15

bending angle = r + r

rayparameter a = (rs

2 + zs2)12 sin(e ndash r ndash )

Calculation of Bending angle amp Rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

16

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

17

Calculation of Refractivity amp Radius

ln r01

1

a

aa1

ada

a2 a21

12

n 1

106

Refractive index n n

Refractivity

Radius r r01 a1

n

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

18Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

19Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral INTEGRALIntegration routine able to handle the pole

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

20

Calculation of Refractivityra

diu

s [k

m]

Bending Angle Refractivity

Abeltransform

Bending angle [deg 106 ]

Refraktivitaumlt [deg 106 ]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

21

The Occultation Footpoints

x

Occultation footpointMoving over the surface of Mars

Spacecraft

Earth direction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

22

The Occultation Footpoints

bull Calculation of intersection point of ray asymptotes using spherical symmetrybull Transformation of this vector into planetary coordinates (lat lon) for every measurement value

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

23

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Main Output Refractivity Radius amp OCC Footpoints

Calculation of Occultation Footpoints

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 12: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

12

Occultation (OCC) plane

Radio Link

MEX orbit

OCC plane at time tm

Earth direction

Calculation of state vectors for every measurement sample

PMEXVMEX

PGSVGS

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

13

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

14

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Solve equations from [Fjeldbo et al 1971]

B ( ) = ( )

whereb11 = -vrs sin(e ndash r) + vzs cos(e ndash r)

b12 = -vrt cos(s ndash r) + vzt sin(s ndash r)b21 = (rs+ zs)12 sin(be ndash ndash r)b22 = zt cos(s ndash r)

k1 = c ffs + vrs[cos(e ndash r) ndash cose] + vzs[sin(e ndash r) ndash sine] - vrt[sin(s ndash r) ndash sins] ndash vzt[cos(s ndash r) ndash coss]k2 = zt sin(s ndash r) + (rs

2-zs2)12 sin(e ndash ndash r)

r

r

k1

k2

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

15

bending angle = r + r

rayparameter a = (rs

2 + zs2)12 sin(e ndash r ndash )

Calculation of Bending angle amp Rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

16

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

17

Calculation of Refractivity amp Radius

ln r01

1

a

aa1

ada

a2 a21

12

n 1

106

Refractive index n n

Refractivity

Radius r r01 a1

n

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

18Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

19Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral INTEGRALIntegration routine able to handle the pole

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

20

Calculation of Refractivityra

diu

s [k

m]

Bending Angle Refractivity

Abeltransform

Bending angle [deg 106 ]

Refraktivitaumlt [deg 106 ]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

21

The Occultation Footpoints

x

Occultation footpointMoving over the surface of Mars

Spacecraft

Earth direction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

22

The Occultation Footpoints

bull Calculation of intersection point of ray asymptotes using spherical symmetrybull Transformation of this vector into planetary coordinates (lat lon) for every measurement value

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

23

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Main Output Refractivity Radius amp OCC Footpoints

Calculation of Occultation Footpoints

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 13: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

13

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

14

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Solve equations from [Fjeldbo et al 1971]

B ( ) = ( )

whereb11 = -vrs sin(e ndash r) + vzs cos(e ndash r)

b12 = -vrt cos(s ndash r) + vzt sin(s ndash r)b21 = (rs+ zs)12 sin(be ndash ndash r)b22 = zt cos(s ndash r)

k1 = c ffs + vrs[cos(e ndash r) ndash cose] + vzs[sin(e ndash r) ndash sine] - vrt[sin(s ndash r) ndash sins] ndash vzt[cos(s ndash r) ndash coss]k2 = zt sin(s ndash r) + (rs

2-zs2)12 sin(e ndash ndash r)

r

r

k1

k2

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

15

bending angle = r + r

rayparameter a = (rs

2 + zs2)12 sin(e ndash r ndash )

Calculation of Bending angle amp Rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

16

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

17

Calculation of Refractivity amp Radius

ln r01

1

a

aa1

ada

a2 a21

12

n 1

106

Refractive index n n

Refractivity

Radius r r01 a1

n

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

18Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

19Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral INTEGRALIntegration routine able to handle the pole

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

20

Calculation of Refractivityra

diu

s [k

m]

Bending Angle Refractivity

Abeltransform

Bending angle [deg 106 ]

Refraktivitaumlt [deg 106 ]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

21

The Occultation Footpoints

x

Occultation footpointMoving over the surface of Mars

Spacecraft

Earth direction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

22

The Occultation Footpoints

bull Calculation of intersection point of ray asymptotes using spherical symmetrybull Transformation of this vector into planetary coordinates (lat lon) for every measurement value

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

23

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Main Output Refractivity Radius amp OCC Footpoints

Calculation of Occultation Footpoints

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 14: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

14

Next Goal Calculation of Bending angle amp Rayparameter

bending angle

a rayparameter

Solve equations from [Fjeldbo et al 1971]

B ( ) = ( )

whereb11 = -vrs sin(e ndash r) + vzs cos(e ndash r)

b12 = -vrt cos(s ndash r) + vzt sin(s ndash r)b21 = (rs+ zs)12 sin(be ndash ndash r)b22 = zt cos(s ndash r)

k1 = c ffs + vrs[cos(e ndash r) ndash cose] + vzs[sin(e ndash r) ndash sine] - vrt[sin(s ndash r) ndash sins] ndash vzt[cos(s ndash r) ndash coss]k2 = zt sin(s ndash r) + (rs

2-zs2)12 sin(e ndash ndash r)

r

r

k1

k2

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

15

bending angle = r + r

rayparameter a = (rs

2 + zs2)12 sin(e ndash r ndash )

Calculation of Bending angle amp Rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

16

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

17

Calculation of Refractivity amp Radius

ln r01

1

a

aa1

ada

a2 a21

12

n 1

106

Refractive index n n

Refractivity

Radius r r01 a1

n

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

18Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

19Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral INTEGRALIntegration routine able to handle the pole

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

20

Calculation of Refractivityra

diu

s [k

m]

Bending Angle Refractivity

Abeltransform

Bending angle [deg 106 ]

Refraktivitaumlt [deg 106 ]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

21

The Occultation Footpoints

x

Occultation footpointMoving over the surface of Mars

Spacecraft

Earth direction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

22

The Occultation Footpoints

bull Calculation of intersection point of ray asymptotes using spherical symmetrybull Transformation of this vector into planetary coordinates (lat lon) for every measurement value

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

23

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Main Output Refractivity Radius amp OCC Footpoints

Calculation of Occultation Footpoints

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 15: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

15

bending angle = r + r

rayparameter a = (rs

2 + zs2)12 sin(e ndash r ndash )

Calculation of Bending angle amp Rayparameter

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

16

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

17

Calculation of Refractivity amp Radius

ln r01

1

a

aa1

ada

a2 a21

12

n 1

106

Refractive index n n

Refractivity

Radius r r01 a1

n

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

18Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

19Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral INTEGRALIntegration routine able to handle the pole

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

20

Calculation of Refractivityra

diu

s [k

m]

Bending Angle Refractivity

Abeltransform

Bending angle [deg 106 ]

Refraktivitaumlt [deg 106 ]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

21

The Occultation Footpoints

x

Occultation footpointMoving over the surface of Mars

Spacecraft

Earth direction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

22

The Occultation Footpoints

bull Calculation of intersection point of ray asymptotes using spherical symmetrybull Transformation of this vector into planetary coordinates (lat lon) for every measurement value

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

23

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Main Output Refractivity Radius amp OCC Footpoints

Calculation of Occultation Footpoints

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 16: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

16

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

17

Calculation of Refractivity amp Radius

ln r01

1

a

aa1

ada

a2 a21

12

n 1

106

Refractive index n n

Refractivity

Radius r r01 a1

n

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

18Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

19Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral INTEGRALIntegration routine able to handle the pole

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

20

Calculation of Refractivityra

diu

s [k

m]

Bending Angle Refractivity

Abeltransform

Bending angle [deg 106 ]

Refraktivitaumlt [deg 106 ]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

21

The Occultation Footpoints

x

Occultation footpointMoving over the surface of Mars

Spacecraft

Earth direction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

22

The Occultation Footpoints

bull Calculation of intersection point of ray asymptotes using spherical symmetrybull Transformation of this vector into planetary coordinates (lat lon) for every measurement value

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

23

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Main Output Refractivity Radius amp OCC Footpoints

Calculation of Occultation Footpoints

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 17: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

17

Calculation of Refractivity amp Radius

ln r01

1

a

aa1

ada

a2 a21

12

n 1

106

Refractive index n n

Refractivity

Radius r r01 a1

n

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

18Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

19Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral INTEGRALIntegration routine able to handle the pole

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

20

Calculation of Refractivityra

diu

s [k

m]

Bending Angle Refractivity

Abeltransform

Bending angle [deg 106 ]

Refraktivitaumlt [deg 106 ]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

21

The Occultation Footpoints

x

Occultation footpointMoving over the surface of Mars

Spacecraft

Earth direction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

22

The Occultation Footpoints

bull Calculation of intersection point of ray asymptotes using spherical symmetrybull Transformation of this vector into planetary coordinates (lat lon) for every measurement value

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

23

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Main Output Refractivity Radius amp OCC Footpoints

Calculation of Occultation Footpoints

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 18: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

18Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

19Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral INTEGRALIntegration routine able to handle the pole

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

20

Calculation of Refractivityra

diu

s [k

m]

Bending Angle Refractivity

Abeltransform

Bending angle [deg 106 ]

Refraktivitaumlt [deg 106 ]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

21

The Occultation Footpoints

x

Occultation footpointMoving over the surface of Mars

Spacecraft

Earth direction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

22

The Occultation Footpoints

bull Calculation of intersection point of ray asymptotes using spherical symmetrybull Transformation of this vector into planetary coordinates (lat lon) for every measurement value

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

23

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Main Output Refractivity Radius amp OCC Footpoints

Calculation of Occultation Footpoints

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 19: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

19Algorithm for the calculation of the refractive index via an Abel transform

Initialise a vector of dimension sbquoilsquoTo store the row integrals

Current rayparameter of layer sbquoilsquo

Upper and lower boundary of the current row integral

Bending angle of the current layer

Call of the integration function and storing of the integral output

Summing up of the array Zintegral INTEGRALIntegration routine able to handle the pole

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

20

Calculation of Refractivityra

diu

s [k

m]

Bending Angle Refractivity

Abeltransform

Bending angle [deg 106 ]

Refraktivitaumlt [deg 106 ]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

21

The Occultation Footpoints

x

Occultation footpointMoving over the surface of Mars

Spacecraft

Earth direction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

22

The Occultation Footpoints

bull Calculation of intersection point of ray asymptotes using spherical symmetrybull Transformation of this vector into planetary coordinates (lat lon) for every measurement value

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

23

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Main Output Refractivity Radius amp OCC Footpoints

Calculation of Occultation Footpoints

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 20: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

20

Calculation of Refractivityra

diu

s [k

m]

Bending Angle Refractivity

Abeltransform

Bending angle [deg 106 ]

Refraktivitaumlt [deg 106 ]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

21

The Occultation Footpoints

x

Occultation footpointMoving over the surface of Mars

Spacecraft

Earth direction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

22

The Occultation Footpoints

bull Calculation of intersection point of ray asymptotes using spherical symmetrybull Transformation of this vector into planetary coordinates (lat lon) for every measurement value

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

23

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Main Output Refractivity Radius amp OCC Footpoints

Calculation of Occultation Footpoints

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 21: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

21

The Occultation Footpoints

x

Occultation footpointMoving over the surface of Mars

Spacecraft

Earth direction

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

22

The Occultation Footpoints

bull Calculation of intersection point of ray asymptotes using spherical symmetrybull Transformation of this vector into planetary coordinates (lat lon) for every measurement value

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

23

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Main Output Refractivity Radius amp OCC Footpoints

Calculation of Occultation Footpoints

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 22: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

22

The Occultation Footpoints

bull Calculation of intersection point of ray asymptotes using spherical symmetrybull Transformation of this vector into planetary coordinates (lat lon) for every measurement value

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

23

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Main Output Refractivity Radius amp OCC Footpoints

Calculation of Occultation Footpoints

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 23: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

23

Level 3 Data Processing Flow ChartInput Level 2 residual Baseline fit correction

Calculation of Bending Angle amp Rayparameter

Abel Transformation Calculation of Refractivity amp Radius

Calculation of Measurement Geometry Occultation Plane

Main Output Refractivity Radius amp OCC Footpoints

Calculation of Occultation Footpoints

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 24: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

24

Level 4The Neutral Atmosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 25: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

25

Starting Point Refractivity

Ionosphere Negative Refraktivity higher than ~ 80 km altitude approx 3480 km radius

Transition Region no significant bending approx 60 km ndash 80 km altitude approx 3450 km ndash 3480 km

Neutral Atmosphere positive Refractivity up to approx 50 km altitude up to approx 3450 km radiusNeutral Atmosphere

Ionosphere

Ionopause

Transition Region

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 26: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

26

The Neutral Number Density

refractivityC1 atmospheric constantk Boltzman constantn neutral number density

h C1n h

k

bull C1 is based on the atmospheric composition (CO2 N2 Ar)bull C1 = 13063 10-6 Kms2kg known from laboratory measurements [Hinson et al 1999]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 27: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

27

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 28: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

28

bull Ideal gas law relates Pressure Temperature and Density

bull Hydrostatic equilibrium in well-mixed atmosphere temperature can be derived directly from neutral number density

Calculation of Pressure and Temperature

hdhghnhnk

mT

hhT

uph

h

upup

hThnkhp

upper boundary condition

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 29: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

29

Upper boundary condition of temperature

140 150 160 170 180 190 200 210 220

3380

3390

3400

3410

3420

Rad

ius

[km

]

Temperature [K]

T_up = 160 KT_up = 150 KT_up = 170 K

Tup = 150 KTup = 160 KTup = 170 K

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 30: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

30

Level 4 Neutral Atmosphere Data Processing Flow Chart

Input Refractivity Profile

Calculation of Neutral Number Density

Calculation of Temperature and Pressure

Main Output Profiles of Temperature Pressure and Density

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 31: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

31

Level 4The Ionosphere

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 32: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

32

The Electron Density

h C3

Ne

f20

f0 Radio link frequency

Ne electron density

C3 = 4031

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 33: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

33

The Electron Density

0 2 4 6 8 10 12

electron density (1010 elm3)

50

150

250

350

450

550

650

alt

itu

de

wit

h r

es

pe

ct

to M

OL

A s

urf

ac

e (

km

)

electron density DOY 197 orbit 621 DSN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

34

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

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etta

_CD

PR

wha

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_RS

_v4

ppt

19

042

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M

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2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

35

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

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etta

_CD

PR

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_RS

_v4

ppt

19

042

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2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Typical daytime profile middle latitude

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

36

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

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etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

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53A

M

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2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

morning profileinversion in boundary layer

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

37

2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

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etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

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2007 Autumn2005 Autumn2005 Spring2005 Spring

Temperature Profiles Northern Hemisphere

Stationary wave structures

350degN

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

38

Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

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etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

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Comparison with Model middle latitudes

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ssu

re [

Pa]

MaRSGCM low dustGCM med dustGCM high dust

DOY 120 2007 (4538degN2782degE)

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ssu

re [

Pa]

DOY 145 2007 (4264deg N 142degE)

MaRSGCM low dustGCM med dustGCM high dust

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

39

120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

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etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

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120 140 160 180 200 220

Temperature [K]

102

101

Pre

ss

ure

[P

a]

DOY 138 2007 (6002deg N 2167degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 60deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

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etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

40

120 140 160 180 200 220

Temperature [K]

103

102

101

Pre

ss

ure

[P

a]

DOY 134 2007 (6333deg N 2000degE)

MaRSGCM low dustGCM med dustGCM high dust

Comparison with Model 63deg N

MaRSGCM low dustGCM med dustGCM high dust

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

41

Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

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etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

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Comparison with Model Winter Night

MaRS GCM (LMD)

Tem

per

atu

re [

K]

alti

tud

e [

km]

alti

tud

e [

km]

planetary latitude [deg]planetary latitude [deg]

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

42

Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

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etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

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Autumn profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

2005 2007

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg

Page 43: Rosetta_CD\PR\what_is_RS.ppt, 04.09.2015 18:39AM, 1 Mars Express Radio Science Experiment MaRS MaRS Radio Science Data: Level 3 & 4 The retrieval S.Tellmann,

Ros

etta

_CD

PR

wha

t_is

_RS

_v4

ppt

19

042

3 11

53A

M

43

Autumn amp Winter profiles

Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg

Ls = 345deg ndash 15deg