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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
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_v4
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19
042
3 11
53A
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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
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_RS
_v4
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042
3 11
53A
M
4
Level 3 Data Processing Flow ChartInput Level 2 residual
Ros
etta
_CD
PR
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_RS
_v4
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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
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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
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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
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19
042
3 11
53A
M
31
Level 4The Ionosphere
Ros
etta
_CD
PR
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_v4
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3 11
53A
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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
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19
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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
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t_is
_RS
_v4
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19
042
3 11
53A
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34
2007 Autumn2005 Autumn2005 Spring2005 Spring
Temperature Profiles Northern Hemisphere
350degN
Ros
etta
_CD
PR
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_RS
_v4
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3 11
53A
M
35
2007 Autumn2005 Autumn2005 Spring2005 Spring
Temperature Profiles Northern Hemisphere
Typical daytime profile middle latitude
350degN
Ros
etta
_CD
PR
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t_is
_RS
_v4
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3 11
53A
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36
2007 Autumn2005 Autumn2005 Spring2005 Spring
Temperature Profiles Northern Hemisphere
morning profileinversion in boundary layer
350degN
Ros
etta
_CD
PR
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_RS
_v4
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3 11
53A
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37
2007 Autumn2005 Autumn2005 Spring2005 Spring
Temperature Profiles Northern Hemisphere
Stationary wave structures
350degN
Ros
etta
_CD
PR
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_RS
_v4
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3 11
53A
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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
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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
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3 11
53A
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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
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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
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Autumn profiles
Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg
2005 2007
Ros
etta
_CD
PR
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_v4
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3 11
53A
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Autumn amp Winter profiles
Ls = 250deg ndash 265deg Ls = 227deg ndash 235deg
Ls = 345deg ndash 15deg
Ros
etta
_CD
PR
wha
t_is
_RS
_v4
ppt
19
042
3 11
53A
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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
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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
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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
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3 11
53A
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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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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