IAO 2006, Теория, Група α — Задача 1. Telescope.

Theoretical round. Problems to solve · 10 ноември 2006 г.

Бележка

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

Source annotations

Printed source inconsistencies are retained: the English telescope key repeats Δx_m on the right of its displacement identity; the galaxy key uses both1.89×10⁻³ and1.86×10⁻³rad; the alpha eccentricity ratio has a sign inconsistency before the later positive0.07 result. The English polar key prints71°06′N/72°48′S; the Russian copy has handwritten70°06′N/71°48′S. No scientific correction has been silently substituted.

Условие

On the observational round you will use a simple Newton-system telescope with the mirror diameter $D=125$ mm, focal length $F=1025$ mm and 3 eye-pieces with focal lengths $f_1=12$ mm, $f_2=25$ mm and $f_3=38$ mm. Find on what distances ($\Delta x_1=$, $\Delta x_2=$, $\Delta x_3=$ in vertical direction on the middle figure) it is necessary to move the corresponding eye-pieces (1,2,3) to readjust the telescope from observation of the sky objects to observation of a monkey sitting at a distance $L=50$ m from you. (Your answer should have both formula and numerical values.) What eyepiece is the most suitable for observation of the monkey? Why?

Решение

---

Оригинал в Архива: theo1.jpg · официални решения: theosol1.jpg · допълнителни данни: theo2.jpg · допълнителни данни: theodata1.pdf · допълнителни данни: theodata2.jpg · допълнителни данни: constants.jpg · допълнителни данни: theosol2.jpg · допълнителни данни: theosol3.jpg · допълнителни данни: theosol4.jpg