APAO 2012, Теория, β — Задача 4. Bear and satellite

VIII Азиатско-Тихоокеанская астрономическая олимпиада · VIII Asian-Pacific Astronomy Olympiad · Theoretical round · 26 ноември 2012 г.

Условие

The Polar Bear is sitting at the North Pole of the Earth, philosophizes and watches celestial objects. An artificial satellite moving in a circular polar orbit appeared in his vision. The first time the satellite disappeared over the horizon at the longitude of Gwangju, and the next time it disappeared over the horizon at the longitude of Cox's Bazar. At what height above the head of the Polar Bear the satellite flies? The solution has to include an artistic picture with an image of the Polar Bear-observer at the North Pole.

Решение

Теми и трудност

Оценена трудност: 5/5.

Небесна механика · Небесна сфера и сферична астрономия · Орбитално движение · Небесни координати

Предпоставки: Гимназиална подготовка, Разширена олимпиадна подготовка

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Оригинал в Архива: betatheo.pdf