IOAA 2011, Теория, кратки задачи — Задача 12

Short theoretical questions · Each question max 10 points

Условие

  1. 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∘47^\circ. Krakow is at latitude 50.1∘50.1^\circ N; the current equatorial coordinates (right ascension and declination) of these stars are:

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

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

Решение

Внимание: Непълно решение

Официално решение не е налично в източника.

Теми и трудност

Трудност: неоценена.

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Оригинал в Архива: 2011_Short_Questions.pdf