A Cepheid variable is a pulsating evolved star whose regular changes in stellar radius and temperature produce a repeating light curve. The kappa mechanism supplies driving in a suitable part of the instability strip. Large stellar radius gives a long dynamical time, connecting the pulsation period to the star's mean mass density.
The practical importance is the calibrated Cepheid period-luminosity relation. Measuring a period predicts an absolute magnitude within a specified population and spectral band; comparison with apparent magnitude then constrains distance. Extinction, composition and unresolved companions affect that comparison. Thus the variable brightness acts as a physical ruler only after calibration, rather than every pulsating star having one universal luminosity at a given period.
The pulsation period of a Cepheid variable is correlated with its absolute magnitude in a specified photometric band. Calibrating the relation with stars of known distance allows an observed period and corrected apparent magnitude to give a distance. Extinction and metallicity corrections matter for a precise cosmic distance ladder.

Articles by others on the same topic (1)

A Cepheid variable is a type of star that exhibits regular and predictable variations in brightness over a specific period of time. These stars are essential for astronomers because their periodic brightness fluctuations are closely related to their intrinsic luminosity, allowing them to serve as important distance indicators in the universe. Cepheid variables are classified into two main types: **Classical Cepheids** and **Type II Cepheids**.