Universe: Stars And Galaxies
Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 6, Problem 28Q
To determine

The reason for spherical aberration to not affect the usefulness of the Hobby-Eberly Telescope in spectroscopy.

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You want to create a telescope with a resolving powe of 0.100 arc seconds at a wavelength of 550 nm. Wha diameter (in m) do you need? If you want to increase the light gathering power by a factor of 10, by what factor does the diameter need to increase? What would the new resolving power be (in arc seconds)?
The nearest neighboring star to the Sun is about 4 lightyears away. If a planet happened to be orbiting this star atan orbital radius equal to that of the Earth–Sun distance,what minimum diameter would an Earth-based telescope’saperture have to be in order to obtain an image that resolvedthis star–planet system? Assume the light emitted by thestar and planet has a wavelength of 550 nm.
A charged-couple device (CCD) detector ismounted at the focus of an f/7 reflecting telescope with a D= 50 cm mirror. The CCD chip contains 1024×1024 pixels, with each square pixel being 10μm on a side. How many separate exposures would be required to cover the entire celestial sphere (4π steradians)?
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