IAO 2002, Теория, Група β, английски — Задача 1
Theoretical round. Problems to solve — Group B · 22 октомври 2002 г.
Бележки от източника
The supplied key refers to a drawing for problem 2 but contains none. The B4 key prints “5 parameters” before concluding 16; the printed wording is retained. The printed B5 formula V_per·a(1−e)/2 and its numerical results are retained without correction.
Условие
About 1100 B.C., Chinese astronomers measured the maximum height of the Sun on the days of summer and winter solstices. In the former case, they obtained the value , in the latter case . On both the occasions, the Sun was south of zenith. Find out at what latitude the observations were made. Also calculate the angle between the ecliptic and the celestial equator in the epoch mentioned.
Решение
The latitude may be found by formula:
The angle between the ecliptic and the celestial equator in the epoch mentioned:
Оригинал в Архива: betatheo.jpg · официални решения: commonsol.jpg · допълнителни данни: alphasol.jpg · допълнителни данни: betatheodata.jpg · допълнителни данни: betasol.jpg