USAAAO 2022, I кръг — Задача 3

USAAAO 2022 - First Round · 5 февруари 2022 г.

Условие

Consider the following elliptical orbit of a comet around a star:

Which of the following expressions corresponds to the time that the comet takes to go from point A to point B as a function of the period of the comet ($T$) and the eccentricity of the orbit ($e$)?

Assume that the direction of the orbit is counterclockwise.

(a) $\frac{T}{2}$

(b) $\left(\frac{e}{\pi} + \frac{1}{2}\right) * T$

(c) $\left(\frac{1}{2} - \frac{e}{\pi}\right) * T$

(d) $(1 + e) * \frac{T}{2}$

(e) $\frac{T * e}{2}$

Отговори

Решение

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