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Sabiendo que el 26 de abril de 2025 se toma una altura instrumental de la estrella Sirius de 20º31,0´, que el observador se encuentra a una altura de 8,2 metros sobre el nivel del mar y que el error de índice del sextante es de 0,1´ (-), se pide calcular la altura verdadera de dicho astro.On 26 April 2025 the sextant altitude of the star Sirius is 20º 31.0', height of eye is 8.2 m above sea level, and the sextant index error is 0.1' (-). Calculate the star's true altitude.

Show the answer

Correct answer: c) 20° 23.2'.

Why it is correct

For a star, only index error, dip, and refraction apply (no semi-diameter or parallax). With ai = 20º 31.0′, Ci = −0.1′, dip for 8.2 m (−5.1′), and mean refraction at 20º 25′ (−2.6′), av = 20º 31.0′ − 7.8′ = 20º 23.2′.

Why the others are not

  • a) Subtracts the dip of the horizon twice.
  • b) Subtracts 1′ too much in refraction or index error.
  • d) Subtracts only 1.5′ of refraction instead of the 2.6′ required at 20º altitude.

How to work it out in the exam

  1. For stars, both dip (−5.1′) and refraction (−2.6′) subtract.

Where this question comes from

Try it: Sight reduction

Pending instructor review. Machine translation, not reviewed.