USAAAO 2022, I кръг — Задача 17

USAAAO 2022 - First Round · 5 февруари 2022 г.

Условие

An astronomer observes an eclipsing binary star system from Earth, and he plots the following light curve.

Line plot titled 'Light Curve of Eclipsing Binary Star System': horizontal axis 'Year' from 2013 to 2021, vertical axis 'Apparent Magnitude' from 6.0 (top) to 8.0 (bottom). The curve stays near 6.0 except a deep V-shaped dip to 7.5 centred near late 2014 (from about 2014 to about 2015.7) and a shallow dip to about 6.2 at 2019.

Suppose that both stars have circular orbits and the distance between the stars is 14.8 AU. What is the total mass of the binary star system in terms of solar masses?

(a) 2.3M⊙2.3M_{\odot}

(b) 5.7M⊙5.7M_{\odot}

(c) 6.8M⊙6.8M_{\odot}

(d) 23M⊙23M_{\odot}

(e) 46M⊙46M_{\odot}

Отговори

Решение

Оригинал в Архива: usaaao_first_exam_2022_problems.pdf · официални решения: usaaao_first_exam_2022_solutions-1.pdf