IAO 2014, theory, α — Задача 2

*АСТРОНОМИЧЕСКОЕ ОБЩЕСТВО

EURO–ASIAN ASTRONOMICAL SOCIETY

Round Theo

Group α

язык language English

XIX Международная астрономическая олимпиада XIX International Astronomy Olympiad

Бишкек – Чолпон-Ата 12–21. X. 2014 Bishkek – Cholpon-Ata

Theoretical round. Problems to solve · 12 октомври 2014 г.*

General note

General note. Maybe not all problems have correct questions. Some questions (maybe the main question of the problem, maybe one of the subquestions) may make no real sense. In this case you have to write in your answer (in English or Russian): «impossible situation – ситуация невозможна». Of course, this answer has to be explained numerically or logically.

Data from the tables (Planetary data, stars, constants, etc.) may be used for solving every problem.

The answers «Да-Yes» or «Нет-No» have to be written in English or Russian.

Условие

2. Great oppositions. Now great oppositions of Mars happen every 15 or 17 years. To simplify colonization of Mars, to improve environmental conditions on it, and to increase the effect of the great oppositions, our civilization has conceived an ambitious project: to reduce by 6.0% the semi-major axis of this planet’s orbit, while keeping the eccentricity of the orbit unchanged. How often will the great oppositions of Mars occur in the case of the new orbit?

Решение

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Киргизия, Бишкек – Чолпон-Ата 2014 Bishkek – Cholpon-Ata, Kyrgyzstan

Теми и трудност

Трудност: неоценена.

Небесна механика · Слънчева система · Закони на Кеплер · Планетни конфигурации

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Оригинал в Архива: alphatheo.pdf