If you measure the average brightness and pulsation period of a cepheid variable star, you can also determine its distance.
Cepheid variable stars belong to a class of stars that have a distinct relationship between variation period and luminosity.
Their period of cycle and luminosity are closely related to each other and they differ in temperature and diameter.
As their brightness increases and decreases, therefore, it helps out in the measurement of intergalactic and interstellar distances.
The changes in amplitude of their motion and cycle period have a definite impact on their brightness which enables us to determine their distance.
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