The document discusses altitude corrections when taking sextant measurements of celestial objects. It explains that the observed altitude is calculated by adjusting the sextant altitude for index error and dip. The apparent altitude is then calculated by subtracting dip from the observed altitude. Finally, the true altitude is determined by applying total corrections to the apparent altitude. It provides three examples calculating true zenith distance by working through these correction steps.
The document discusses altitude corrections when taking sextant measurements of celestial objects. It explains that the observed altitude is calculated by adjusting the sextant altitude for index error and dip. The apparent altitude is then calculated by subtracting dip from the observed altitude. Finally, the true altitude is determined by applying total corrections to the apparent altitude. It provides three examples calculating true zenith distance by working through these correction steps.
The document discusses altitude corrections when taking sextant measurements of celestial objects. It explains that the observed altitude is calculated by adjusting the sextant altitude for index error and dip. The apparent altitude is then calculated by subtracting dip from the observed altitude. Finally, the true altitude is determined by applying total corrections to the apparent altitude. It provides three examples calculating true zenith distance by working through these correction steps.
The document discusses altitude corrections when taking sextant measurements of celestial objects. It explains that the observed altitude is calculated by adjusting the sextant altitude for index error and dip. The apparent altitude is then calculated by subtracting dip from the observed altitude. Finally, the true altitude is determined by applying total corrections to the apparent altitude. It provides three examples calculating true zenith distance by working through these correction steps.
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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