APAO 2014, Теория, Група α — Задача 6. ISS in Zenith

X Азиатско-Тихоокеанская астрономическая олимпиада / X Asian-Pacific Astronomy Olympiad — Theoretical round — Group α · 24 ноември 2014 г.

Бележка

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

On the day of the beginning of the X APAO, November 24, 2014, at 05 h 01 min (Irkutsk time) the spacecraft Soyuz-TMA-15M was launched. At 10 h 48 min it was docked with the ISS. It is interesting to note that ISS can fly very close to Zenith for an observer in Listvyanka. At what minimum distance should an observer from Listvyanka be moved to observe ISS sometimes just in Zenith?

November 24, 2014, the main parameters of the orbit of the ISS are:

Inclination of the orbit: $i = 51.648^{\circ}$.

Mean motion (revolutions per day): $n = 15.5142$.

Решение

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Оригинал в Архива: alphatheo.pdf