APAO 2014, Теория, Група α — Задача 2. LSVT and babr

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

The Large Solar Vacuum Telescope (LSVT) of the Institute of Solar-Terrestrial Physics, located in Listvyanka, has the main mirror 760 mm in diameter and focal length 40 m. One of the main activities of the scientists observing with the LSVT is the research of active features in solar atmosphere. Scientists regularly observe sunspots.

2.1 Draw in real scale a picture of image of the sunspot “footstep of babr” (see picture and condition of the previous problem) obtained in the focal plane of the LSVT.

2.2 When observing the Sun during sunset scientists have seen a running animal on the hill on the opposite side of the Angara river (approximately 5 km away). Scientists have suggested it is a babr, cat’s like animal (felidae) about the size of a tiger. Estimate how far you need to move the screen on which the Sun was recorded to clearly see on it the silhouette image of the animal.

2.3 Draw in actual scale in your notebook something (a point, spot, silhouette, image or something else) that will be visible on the screen.

Решение

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Оригинал в Архива: alphatheo.pdf