Cepheid variables provide a critical
rung on the
cosmic distance scale ladder.
Using parallax, we can only determine the distances to a few
thousand of the nearest
stars. Some of these stars are
Cepheids. Cepheids are
pulsating stars, they
oscillate
in intrinsic brightness with a period that is proportional to their
average brightness. So, by measuring the period of oscillation, you
can determine its intrinsic brightness. You can also measure its apparent
brightness; the difference between them
tells you the
distance to the Cepheid.
Cepheids are very luminous stars, so they can be seen at great distances,
even in other galaxies! In fact, the Hubble Space Telescope
Key Project was to determine Cepheid distances to 18 galaxies. The goal
was to calibrate the last rung on the cosmic distance scale ladder:
Hubble's law. The calibrated law allows us to determine the distance to
virtually any object in the Universe to an accuracy of 10 percent
(modulo cosmological effects).