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Altitude Corrections

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ALTITUDE CORRECTION

 Visible Horizon – (VV1) - Small circle


on the surface of the earth
representing the observer's field of
vision.
 Sensible horizon – Small circle on the
celestial sphere whose plane is parallel
to the rational horizon, and which
passes through the observer’s eye.
Corrections
 Index Error
– ‘on the arc’ is subtracted from the sextant
altitude to get observed altitude.
– ‘off the arc’ is added to the sextant altitude to
get observed altitude.

Sextant Altitude (SA) +/- Index Error


(IE) =Observed Altitude (OA)
 Dip (Height of Eye)
– Dip is the angle between the visible Horizon and
the sensible horizon. It is always negative.

Observed Altitude – Dip = Apparent


Altitude.
 Total Corrections
– Allows for refraction, parallax and semi-diameter
(where applicable).
– SUN: Entered with Date, Limb, and A.A.
– Planets: Entered with A.A. Note: additional
corrections for Venus & Mars.
– Stars: Entered with A.A.

Apparent Altitude (AA) +/- Total Corrections


(TC) = True Altitude (TA)
 True Zenith Distance

90 degrees minus TA = TZD


Example 1

 The Sextant Altitude of the Sun’s lower


limb on 29th June 1995 was 37° 15.8’.
Index error 0.7’ On the Arc, Height of
Eye 7.2m. Calculate the True Zenith
Distance.
 Sun (LL) = 37° 15.8’ 29th June 1995. IE= 0.7 on.
HE=7.2m
 S. A. 37° 15.8’
 I.E ____-0.7
 O.A. 37° 15.1’
 Dip ____-4.7
 A.A. 37° 10.4’
 T.C. __+14.7
 T.A. 37° 25.1’
 90 90° 00.0
 TZD 52° 34.9’
Example 2

 The Sextant Altitude of Mars on 5th


March 1995 was 22° 13.7’. Index error
1.3’ Off the Arc, Height of Eye 4.6m.
Calculate the True Zenith Distance.
 Mars SA = 22° 13.7’. 5th March 1995. IE=1.3’ off. HE=4.6m
 S. A. 22° 13.7’
 I.E ___+1.3
 O.A. 22° 15.0’
 Dip ____-3.8
 A.A. 22° 11.2’
 T.C. -2.4
 Additional Corr’n _ +0.2
 T.A. 22° 09.0’
 90 90° 00.0
 TZD 67° 51.0’
Example 3

 An observer obtained a Sextant


reading of Sirius during morning
twilight on 5th March 1995 was 22°
13.7’. Index error of the sextant was
1.1’ Off the Arc, Height of Eye 43.3m.
Calculate the True Zenith Distance.
 Sirius = 52° 28.5’ morning twilight. 29th June 1995. IE= 1.1
off. HE=43.3m.
 S. A. 52° 28.5’
 I.E ___+1.1
 O.A. 52° 29.6’
 Dip ___-11.6
 A.A. 52° 18.0’
 T.C. ____-0.8*
 T.A. 52° 17.2’
 90 90° 00.0
 TZD 37° 42.8’

 * Note 52° 18’ is a critical number and the correction must be


taken from the upper figure.

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