IOAA 2016, theory — Задача 7. Telescope optics

Theoretical Examination · 10 т.

Условие

In a particular ideal refracting telescope of focal ratio $f$/5, the focal length of the objective lens is 100 cm and that of the eyepiece is 1 cm.

An introduction of a concave lens (Barlow lens) between the objective lens and the prime focus is a common way to increase the magnification without a large increase in the length of the telescope. A Barlow lens of focal length 1 cm is now introduced between the objective and the eyepiece to double the magnification.

A telescope is now constructed with the same objective lens and a CCD detector placed at the prime focus (without any Barlow lens or eyepiece). The size of each pixel of the CCD detector is 10 μm.

T7.1 What is the angular magnification, $m_0$, of the telescope? What is the length of the telescope, $L_0$, i.e. the distance between its objective and eyepiece? [4 т.]

T7.2 At what distance, $d_{\mathrm{B}}$, from the prime focus must the Barlow lens be kept in order to obtain this desired double magnification? [6 т.]

T7.3 What is the increase, $\Delta L$, in the length of the telescope? [4 т.]

T7.4 What will be the distance in pixels between the centroids of the images of the two stars , $n_{\mathrm{p}}$, on the CCD, if they are 20'' apart on the sky? [6 т.]

Решение

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Оригинал в Архива: theory-qp.pdf · официални решения: theory_sol.pdf