Chapter 5

A certain telescope has a \(10^{\prime} \times 10^{\prime}\) field of view that is recorded using a CCD chip having \(2048 \times 2048\) pixels. What angle on the sky corresponds to 1 pixel? What would be the diameter, in pixels, of a typical seeing disk ( \(1^{\prime \prime}\) radius)?

A \(2-\mathrm{m}\) telescope can collect a given amount of light in hour. Under the same observing conditions, how much time would be required for a \(6-\mathrm{m}\) telescope to perform the same task? A 12-m telescope?

What is the equivalent single-mirror diameter of a telescope constructed from two separate 10 -m mirrors? Four separate \(8-m\) mirrors?

The Moon lies about \(380,000 \mathrm{km}\) away. To what distances do the angular resolutions of \(S S T\left(3^{\prime \prime}\right), H S T\left(0.05^{\prime \prime}\right),\) and a radio interferometer \(\left(0.001^{\prime \prime}\right)\) correspond at that distance?

Estimate the angular resolutions of (a) a radio interferometer with a 5000 -km baseline, operating at a frequency of \(5 \mathrm{GHz},\) and (b) an infrared interferometer with a baseline of \(50 \mathrm{m},\) operating at a wavelength of \(1 \mu \mathrm{m}\).