Variable Stars

The Ancients thought the heavens were unchanging, but we now know that there are many variable stars that vary their light output in a periodic fashion.
Types of Variable Stars
We have seen that eclipsing binary stars vary in brightness, but many other kinds of stars vary their light output because of changes in their internal properties. Variable stars may be classified broadly into three categories:

1. pulsating variables
2. eclipsing variables
3. eruptive variables

Among the pulsating variables we may list Cepheid variables, RR Lyrae variables, long-period red variables, and others. Examples of eruptive variables are novae, supernovae, and X-ray bursters. In this module we will concentrate on the pulsating variables. Eclipsing variables were discussed in conjunction with multiple star systems in Chapter 19 and eruptive variables are discussed in other modules of the present chapter. The following table lists some of the common classes of pulsating variable stars, along with the stellar population in which they are commonly found (Pop I or Pop II) and the typical range of periods.

Some Classes of Variable Stars
Variable Type Population Type Range of Periods
Long-Period Variables Pop I and Pop II 100 - 700 days
Classical Cepheids Pop I 1 - 50 days
Type II Cepheids
(W Virginis Stars)
Pop II 2 - 45 days
RR Lyrae Stars Pop II 1.5 - 24 hours
delta Scuti Stars Pop I 1 - 3 hours
beta Cephei Stars Pop I 3 - 7 hours
ZZ Ceti Stars Pop I 100 - 1000 seconds
*Adapted from B. W. Carroll and D. A. Ostlie, An Introduction to Modern Astrophysics

(ZZ Ceti stars are pulsating white dwarfs and so are not stars by the strict definition.) We see that the range of pulsation periods for these variables ranges from minutes up to several years. We shall discuss the Cepheid variables, RR Lyrae stars, and long-period variables explicitly.

Light Curves
The key quantity in observing variable stars is the light curve, which is a plot of the variation in light output as a function of time. It is this plot that establishes that the star is a variable, and the detailed nature of the curve often allows us to classify it according to the different types of variable stars that we are about to discuss.