Period-luminosities relation of classical Cepheids

Astronomy and Astrophysics – Astrophysics

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Cepheid Variables, Stellar Luminosity, Andromeda Galaxy, Magellanic Clouds, Milky Way Galaxy, Stellar Color, Supergiant Stars

Scientific paper

A method of constructing a period-luminosity (PL) relation is examined in order to determine an optimized procedure. A necessity is noted for making the PL relation cluster moduli independent. A period-radius (PR) relation defined by Ivanov (1981) is used, together with a defined brightness coefficient for the star, to obtain a new value for the absolute magnitude of individual stars. A color-spectrum relation is assumed in order to derive a period-color relation, which in turn serves for deducing a PL relation. The new PL relation is applied to the M31 Cepheids, the LMC, and the SMC. The slope of the PL relation is found to be different for the s-Cepheids, compared with the other Cepheids.

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