4.3 How Telescopes Work

Telescopes have come a long way since Galileo’s time. Now they tend to be huge devices; the most expensive cost hundreds of millions to billions of dollars. (To provide some reference point, however, keep in mind that just renovating college football stadiums typically costs hundreds of millions of dollars—with the most expensive recent renovation, at Texas A&M University’s Kyle Field, costing $450 million.) The reason astronomers keep building bigger and bigger telescopes is that celestial objects—such as planets, stars, and galaxies—send much more light to Earth than any human eye (with its tiny opening) can catch, and bigger telescopes can detect fainter objects. If you have ever watched the stars with a group of friends, you know that there’s plenty of starlight to go around; each of you can see each of the stars. If a thousand more people were watching, each of them would also catch a bit of each star’s light. Yet, as far as you are concerned, the light not shining into your eye is wasted. It would be great if some of this “wasted” light could also be captured and brought to your eye. This is precisely what a telescope does.

The most important functions of a telescope are (1) to collect the faint light from an astronomical source and (2) to focus all the light into a point or an image. Most objects of interest to astronomers are extremely faint: the more light we can collect, the better we can study such objects. (And remember, even though we are focusing on visible light first, there are many telescopes that collect other kinds of electromagnetic radiation.)

Telescopes that collect visible radiation use a lens or mirror to gather the light. Other types of telescopes may use collecting devices that look very different from the lenses and mirrors with which we are familiar, but they serve the same function. In all types of telescopes, the light-gathering ability is determined by the area of the device acting as the light-gathering “bucket.” Since most telescopes have mirrors or lenses, we can compare their light-gathering power by comparing the apertures, or diametres, of the opening through which light travels or reflects.

The amount of light a telescope can collect increases with the size of the aperture. A telescope with a mirror that is 4 metres in diameter can collect 16 times as much light as a telescope that is 1 meter in diameter. (The diameter is squared because the area of a circle equals [latex]\pi d^2/4[/latex], where [latex]d[/latex] is the diameter of the circle.)

Example 4.1

Calculating the Light-Collecting Area

What is the area of a [latex]1[/latex] m diameter telescope? A [latex]4[/latex] m diameter one?

Solution

Using the equation for the area of a circle,

[latex]\begin{align*}A=\frac{\pi{d}^{2}}{4}\end{align*}[/latex]

the area of a [latex]1[/latex] m telescope is

[latex]\begin{align*}\frac{\pi{d}^{2}}{4}=\frac{\pi{\left(1\phantom{\rule{0.2em}{0ex}}\text{m}\right)}^{2}}{4}=0.79\phantom{\rule{0.2em}{0ex}}{\text{m}}^{2}\end{align*}[/latex]

and the area of a [latex]4[/latex] m telescope is

[latex]\begin{align*}\frac{\pi{d}^{2}}{4}=\frac{\pi{\left(4\phantom{\rule{0.2em}{0ex}}\text{m}\right)}^{2}}{4}=12.6\phantom{\rule{0.2em}{0ex}}{\text{m}}^{2}\end{align*}[/latex]

Exercise 4.1

Show that the ratio of the two areas is [latex]16:1[/latex].

Solution

[latex]\begin{align*}\frac{12.6\phantom{\rule{0.2em}{0ex}}{\text{m}}^{2}}{0.79\phantom{\rule{0.2em}{0ex}}{\text{m}}^{2}}=16\end{align*}[/latex]. Therefore, with [latex]16[/latex] times the area, a [latex]4[/latex] m telescope collects [latex]16[/latex] times the light of a [latex]1[/latex] m telescope.

After the telescope forms an image, we need some way to detect and record it so that we can measure, reproduce, and analyze the image in various ways. Before the nineteenth century, astronomers simply viewed images with their eyes and wrote descriptions of what they saw. This was very inefficient and did not lead to a very reliable long-term record; you know from crime shows on television that eyewitness accounts are often inaccurate.

In the nineteenth century, the use of photography became widespread. In those days, photographs were a chemical record of an image on a specially treated glass plate. Today, the image is generally detected with sensors similar to those in digital cameras, recorded electronically, and stored in computers. This permanent record can then be used for detailed and quantitative studies. Professional astronomers rarely look through the large telescopes that they use for their research.


Attribution

6.1 Telescopes” from Douglas College Astronomy 1105 by Douglas College Department of Physics and Astronomy, is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted. Adapted from Astronomy 2e.

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Fanshawe College Astronomy Copyright © 2023 by Dr. Iftekhar Haque is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.