Variable Stars

A star is classed as a variable star if it appears to change brightness (as seen from Earth) over time. The changes can come from the star itself, as the amount of energy it emits varies. Changes can also come from outside the star. For example, light from the star being blocked by an orbiting companion star.

We have known about variable stars for nearly four hundred years. The first one, Mira, was found in 1638. It pulsed over an 11-month cycle. Just over a century later in 1786, astronomers had found only ten variable stars. Today we know of more than 150,000!

We study most variable stars by measuring their brightness over time. We plot this on a graph known as a light-curve.

There are many kinds of variable star, but here are four of the most common types:


Cepheid Variable Light-curve
Light-curve for a Cepheid Variable
Credit: ThomasK Vbg

Cepheid Variables

An important type of variable star is called a Cepheid. These are yellow, giant stars which pulsate. This pulsing is caused by the star swelling and shrinking in a regular, repeating way. Each time the star swells, it gets cooler and fainter. As it shrinks, it gets hotter and brighter. However, this is complicated by how much light the star releases at each stage. The star changes its opacity (how see-through it is) during the process, changing the amount of light we see. The change in opacity is due to a layer of helium in the stars' envelope.

We call each cycle of pulsation, a period. Cepheids have short periods (days to weeks) which are related to the brightness of the star. This is called the period-luminosity relationship. If we know the period, we can work out the luminosity. This allows astronomers to calculate how far away these stars are.  In the 1920s, Cepheids were used to prove that there were other galaxies in the Universe.


RR Lyrae Variable Light-curve
Light-curve for a RR Lyrae Variable
Credit: RJHall

RR Lyrae Variables

RR Lyrae stars are like Cepheids but are far dimmer. They are often part of globular clusters. These stars also have a period-luminosity relationship which we can use to work out the distance to the cluster. The periods of RR Lyrae stars are much shorter (a few hours to a day or 2). Their brightness varies by just 20 % in some cases to over 500 % in others!

The increase in brightness of these stars occurs at a much faster rate than the decrease. This gives the light-curve a distinctive shape. This lets us distinguish them from Cepheid variables.


Mira Variable Light-curve
Light-curve for a Mira Variable
Credit: Lithopsian 


Mira Variables

Mira variable stars are cool supergiants which are also pulsating. The pulsations of Mira stars are large. They can vary between 5 times and 30,000 times their brightness over many months. The variation is produced in the same way as Cepheid variables, but the opacity changes are due to a layer of hydrogen rather than helium.

The rise and fall in brightness is much more balanced in Mira stars. This allows us to distinguish them from Cepheid and RR Lyrae variables.


Eclipsing Binary Light-curve
Light-curve animation for an Eclipsing Binary
Credit: Merikanto

Eclipsing Binaries

An eclipsing binary is a system which contains two stars. Both stars orbit in a plane in line with our view of them. This means that both stars will block out light from the other at some point during the orbit. Each time a star passes in front of the other we see a dip in the light-curve. The size of the dip is controlled by the relative sizes of the two stars. A larger star will block out more light, so there will be a greater change in brightness.

Astronomers use the size of the dip to calculate the relative sizes of the two stars. This can be combined with other observations to find the mass and density of both stars. This has taught us a lot about the different types of stars that exist.