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8/14/2019 2 Altitude Corrections
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Intro to Principles Navigation Altitude corrections /October 2008/MH/Altitude corrections /October 2008/MH/ 1111
Nautical almanac is ..
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Intro to Principles Navigation Altitude corrections /October 2008/MH/Altitude corrections /October 2008/MH/ 2222
Nautical almanac is a compilation of astronomical data
for the entire year. It provides ..
p 161
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Intro to Principles Navigation Altitude corrections /October 2008/MH/Altitude corrections /October 2008/MH/ 3333
OBJECTIVE1.Define :
Rational horizon
Visible horizon
Sensible horizon
True altitude
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Intro to Principles Navigation Altitude corrections /October 2008/MH/Altitude corrections /October 2008/MH/ 4444
Rational horizon
Z
Nadir
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Intro to Principles Navigation Altitude corrections /October 2008/MH/Altitude corrections /October 2008/MH/ 5555
Vertical circle
Z
Nadir
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Intro to Principles Navigation Altitude corrections /October 2008/MH/Altitude corrections /October 2008/MH/ 6666
Zenith to the rational horizon = 90
Z
R
Nadir H
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Intro to Principles Navigation Altitude corrections /October 2008/MH/Altitude corrections /October 2008/MH/ 7777
True altitude
Z
R
Nadir H
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Intro to Principles Navigation Altitude corrections /October 2008/MH/Altitude corrections /October 2008/MH/ 8888
Zenith distance = 90 - true altitude
= ZX or ZD
Z
R
Nadir H
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Intro to Principles Navigation Altitude corrections /October 2008/MH/Altitude corrections /October 2008/MH/ 9999
True altitude
Z
R
Nadir H
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Intro to Principles Navigation Altitude corrections /October 2008/MH/Altitude corrections /October 2008/MH/ 10101010
True altitude
RH
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
True altitude Z
RH
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
True altitude Z
RH
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Zenith distance Z
90 - true altitude = zenith distance
= ZX
= ZD
RH
X
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
True altitude
RH
X
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Visible horizon
RH
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sensible horizon
RH
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Rational, visible and sensible horizon
SH
VH
RH
X
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
OBJECTIVE1.Define :
Observed altitude
Dip
Apparent altitude
Parallax
Refraction
Semi-diameter
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Observed altitude
RH
X
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Rational, visible and sensible horizon
SH
VH
RH
X
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Dip
SH
RH
X
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Observed altitude dip = apparent altitude
RH
X
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Refraction
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
True altitude
SH
RH
X
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Upper limb(UL)
SH
upper limb
RH
X
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Lower limb(LL)
SH
upper limb
RH
X
lower limb
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
upper limb
lower limb
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Semi-diameter
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
upper limb
SD
lower limb
ld Cl i i d
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
upper limb
SD
SD
lower limb
T B A W ld Cl M i i A dT B A W ld Cl M iti A d
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
upper limb (UL)
UL = -ve SD
LL = +ve SD
lower limb (LL)
ld l i i dT B A W ld Cl M iti A dT B A W ld Cl M iti A dT B A W ld Cl M iti A d
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Parallax= angle at body
RH
X
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
a = b + c
RH
b c X
a
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
a = b + c
True altitude = apparent altitude + parallax
RH
b c X
a
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
SI
O
D
A
R
S
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitudeI
O
D
A
R
S
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude Index error
O
D
A
R
S
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude Index error
Observed altitude
D
A
R
S
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude Index error
Observed altitude
- Dip
A
R
S
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude Index error
Observed altitude
- Dip
Apparent altitude
R
S
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude Index error
Observed altitude
- Dip
Apparent altitude
- Refraction
S
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude Index error
Observed altitude
- Dip
Apparent altitude
- Refraction
Semi-diameter
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
SI
O
D
A
R
S
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude Index error
Observed altitude
- Dip
Apparent altitude
- Refraction
Semi-diameter
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8/14/2019 2 Altitude Corrections
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yyyy
Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude Index error
Observed altitude
- Dip
Apparent altitude
- Refraction
Semi-diameter
+Parallax
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8/14/2019 2 Altitude Corrections
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yy
Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude Index error
Observed altitude
- Dip
Apparent altitude- Refraction
Semi-diameter
+Parallax
=True altitude
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8/14/2019 2 Altitude Corrections
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y
Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude Index error
Observed altitude
- Dip
Apparent altitude
- Total correction (refraction,parallax and semi-diameter)
=True altitude
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8/14/2019 2 Altitude Corrections
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude Index error
Observed altitude
- Dip
Apparent altitude
- Refraction Semi-diameter
+Parallax
=True altitude
90 - true altitude = zenith distance
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8/14/2019 2 Altitude Corrections
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude Index error
Observed altitude
- Dip
Apparent altitude- Total correction
=True altitude
90 - true altitude = zenith distance
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Next : find total correction to be applied
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
OBJECTIVE
1.Find total correction to be applied
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Total correction = ?
Dec 13
Apparent altitude 30
Sun LL
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Total correction = ?
May 13
Apparent altitude 30
Sun UL
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Total correction = ?
Apparent altitude 30
Acamar
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Total correction = ?
May 13
Apparent altitude 30
Venus
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Total correction = ?
May 13
Apparent altitude 30
Mars
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Total correction = ?
May 13
Apparent altitude 9
Sun LL
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8/14/2019 2 Altitude Corrections
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Total correction = ?
May 13
Apparent altitude 30
Moon LL
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
OBJECTIVE
1.Find the zenith distance
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Q1
Suns UL Sextant altitude 35 19.1
Index error(IE) = nil
Height of eye(HE) 12.8m on 14 Oct
Find the zenith distance
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8/14/2019 2 Altitude Corrections
62/90
Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude Index error
Observed altitude
- Dip
Apparent altitude- Total correction
=True altitude
90 - true altitude = zenith distance
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8/14/2019 2 Altitude Corrections
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude 35
19.1 Index error
Observed altitude 35 19.1
- Dip
Apparent altitude- Total correction
=True altitude
90 - true altitude = zenith distance
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8/14/2019 2 Altitude Corrections
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude 35
19.1 Index error
Observed altitude 35 19.1 (14 oct UL)
- Dip 6.3 (HE 12.8m)
Apparent altitude- Total correction
=True altitude
90 - true altitude = zenith distance
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8/14/2019 2 Altitude Corrections
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude 35
19.1 Index error
Observed altitude 35 19.1 (14 oct UL)
- Dip 6.3 (HE 12.8m)
Apparent altitude 35 12.8- Total correction 17.4
=True altitude
90 - true altitude = zenith distance
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8/14/2019 2 Altitude Corrections
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude 35
19.1 Index error
Observed altitude 35 19.1 (14 oct UL)
- Dip 6.3 (HE 12.8m)
Apparent altitude 35 12.8- Total correction 17.4
=True altitude 34 55.4
90 - true altitude = zenith distance
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8/14/2019 2 Altitude Corrections
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude 35
19.1 Index error
Observed altitude 35 19.1 (14 oct UL)
- Dip 6.3 (HE 12.8m)
Apparent altitude 35 12.8
- Total correction 17.4
=True altitude 34 55.4
90 - true altitude = zenith distance
ZD = ZX = 55 04.6
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Q2
Capella sextant altitude 23 12.7
Index error(IE) = 1.2off the arc
Height of eye(HE) 11.0m
Find the zenith distance
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8/14/2019 2 Altitude Corrections
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude Index error
Observed altitude
- Dip
Apparent altitude- Total correction
=True altitude
90 - true altitude = zenith distance
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8/14/2019 2 Altitude Corrections
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude 23
12.7 Index error
Observed altitude
- Dip
Apparent altitude- Total correction
=True altitude
90 - true altitude = zenith distance
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8/14/2019 2 Altitude Corrections
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude 23
12.7 Index error + 1.2(off the arc)
Observed altitude
- Dip
Apparent altitude- Total correction
=True altitude
90 - true altitude = zenith distance
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8/14/2019 2 Altitude Corrections
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude 23
12.7 Index error + 1.2(off the arc)
Observed altitude 23 13.9 on 02 Feb
- Dip - 5.8 (HE) 11.0m
Apparent altitude- Total correction
=True altitude
90 - true altitude = zenith distance
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8/14/2019 2 Altitude Corrections
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude 23
12.7 Index error + 1.2(off the arc)
Observed altitude 23 13.9 on 02 Feb
- Dip - 5.8 (HE) 11.0m
Apparent altitude 23 8.1- Total correction
=True altitude
90 - true altitude = zenith distance
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8/14/2019 2 Altitude Corrections
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude 23
12.7 Index error + 1.2(off the arc)
Observed altitude 23 13.9 on 02 Feb
- Dip - 5.8 (HE) 11.0m
Apparent altitude 23 8.1- Total correction - 2.3
=True altitude
90 - true altitude = zenith distance
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8/14/2019 2 Altitude Corrections
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Intro to Principles Navigation Altitude corrections /October /MH/Altitude corrections /October /MH/
Sextant altitude 23
12.7 Index error + 1.2(off the arc)
Observed altitude 23 13.9 on 02 Feb
- Dip - 5.8 (HE) 11.0m
Apparent altitude 23 8- Total correction - 2.2
=True altitude 23 5.8
90 - true altitude = zenith distance
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Sextant altitude 23 12.7
Index error + 1.2(off the arc)
Observed altitude 23 13.9 on 02 Feb
- Dip - 5.8 (HE) 11.0m
Apparent altitude 23 8.1
- Total correction - 2.3
=True altitude 23 5.8
90 - true altitude = zenith distance
= 66 54.2
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Q3
Mars sextant altitude 42 54.3
Index error(IE) = 0.7on the arc
Height of eye(HE) 9.0m on 02 Feb
Find the zenith distance
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Sextant altitude 42
54.3 Index error
Observed altitude
- Dip
Apparent altitude- Total correction
=True altitude
90 - true altitude = zenith distance
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Sextant altitude 42
54.3 Index error - 0.7 on the arc
Observed altitude
- Dip
Apparent altitude- Total correction
=True altitude
90 - true altitude = zenith distance
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Sextant altitude 42
54.3 Index error - 0.7 on the arc
Observed altitude 42 53.6 (9.0m on 02 Feb)
- Dip
Apparent altitude- Total correction
=True altitude
90 - true altitude = zenith distance
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Sextant altitude 42
54.3 Index error - 0.7 on the arc
Observed altitude 42 53.6 (9.0m on 02 Feb)
- Dip - 5.3
Apparent altitude- Total correction
=True altitude
90 - true altitude = zenith distance
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Sextant altitude 42
54.3 Index error - 0.7 on the arc
Observed altitude 42 53.6 (9.0m on 02 Feb)
- Dip - 5.3
Apparent altitude 42 48.3- Total correction
=True altitude
90 - true altitude = zenith distance
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Sextant altitude 42 54.3
Index error - 0.7 on the arc
Observed altitude 42 53.6 (9.0m on 02 Feb)
- Dip - 5.3
Apparent altitude 42 48.3
- Total correction - 1.0
+ 0.1
=True altitude
90 - true altitude = zenith distance
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Sextant altitude 42 54.3
Index error - 0.7 on the arc
Observed altitude 42 53.6 (9.0m on 02 Feb)
- Dip - 5.3
Apparent altitude 42 48.3
- Total correction - 1.0
+ 0.1
=True altitude 42 47.4
90 - true altitude = zenith distance
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Sextant altitude 42 54.3
Index error - 0.7 on the arc
Observed altitude 42 53.6 (9.0m on 02 Feb)
- Dip - 5.3
Apparent altitude 42 48.3
- Total correction - 1.0+ 0.1
=True altitude 42 47.4
90 - true altitude = zenith distance
= 47 1236
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Sextant altitude
Index error
Observed altitude
- Dip
Apparent altitude
- Refraction Semi-diameter
+Parallax
=True altitude
90 - true altitude = zenith distance
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Sextant altitude
Index error
Observed altitude
- Dip
Apparent altitude- Total correction
=True altitude
90 - true altitude = zenith distance
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Total correction includesrefraction, parallax and semi-
diameter values
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The corrections to be applied to the sextant altitudes
of the various celestial bodies are listed at page 152
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