IOAA 2011, theory — Задача 12

*Short theoretical questions

Each question max 10 points*

Условие

12. Due to the precession of the Earth's axis, the region of sky visible from a location with fixed

geographical coordinates changes with time. Is it possible that, at some point in time, Sirius will not rise as seen from Krakow, while Canopus will rise and set? Assume that the Earth's axis traces out a cone of angle $47^\circ$. Krakow is at latitude $50.1^\circ$ N; the current equatorial coordinates (right ascension and declination) of these stars are:

Sirius ($\alpha$ CMa): $6^{\mathrm h}\ 45^{\mathrm m},\ -16^\circ\ 43'$

Canopus ($\alpha$ Car): $6^{\mathrm h}\ 24^{\mathrm m},\ -52^\circ\ 42'$

Решение

Оригинал в Архива: 2011_Short_Questions.pdf