IAO 2015, theory, β — Задача 4

*АСТРОНОМИЧЕСКОЕ ОБЩЕСТВО

EURO–ASIAN ASTRONOMICAL SOCIETY

Round Theo

Group β

язык language English

XX Международная астрономическая олимпиада

XX International Astronomy Olympiad

Россия, Татарстан, Казань 15 – 23. X. 2015 Kazan, Tatarstan, Russia

Theoretical round. Problems to solve · 15 октомври 2015 г.*

Условие

4. Constellation of White Leopard. According to an ancient legend of Middle Volga there was a constellation called White Leopard (Белый Барс – Pardus Album) in the sky in the very past, in which the number of stars were exactly equal to the number of letters in the Greek alphabet, and the stars had magnitudes $\alpha$ PaA – $+0.10^{m}$, $\beta$ PaA – $+0.20^{m}$, $\gamma$ PaA – $+0.30^{m}$, $\delta$ PaA – $+0.40^{m}$, and so on with adding $0.10^{m}$ till $\omega$ PaA. Calculate the total magnitude of the stars of this constellation.

Решение

Оригинал в Архива: theo_beta.pdf