A Cepheid variable (often shortened to Cepheid, sometimes abbreviated
CEP) is a type of variable star that
varies in temperature and luminosity in a regular cycle,
i.e., a type of pulsating star.
They are named after the first such star identified, Delta Cephei.
There are relationships between their period and
stellar characteristics that can be measured or determined,
which allows Cepheids to be used as standard candles,
as part of the cosmic distance ladder. Some relationships:
Period-luminosity-color relation (i.e., enhanced by including a color index).
Period-mean density relation.
There are two populations, Type I Cepheids
(aka classical Cepheids)
and Type II Cepheids, each type with its own period/brightness
relation, so which of these populations it falls in must be determined
to use it to determine distance.
They can be observed in nearby galaxies, allowing a determination
of their distances independent of Type Ia supernovae and redshifts.
Periods vary from a day to fifty or more.
Classical Cepheid variables are yellow giants.
A determination of the classical Cepheid period-luminosity relation is: