On the frequency-period distribution of Cepheid variables in galaxies in the Local Group

Astronomy and Astrophysics – Astronomy

Scientific paper

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Cepheid Variables, Galaxies, Local Group (Astronomy), Magellanic Clouds, Star Distribution, Stellar Evolution, Stellar Models, Andromeda Galaxy, Chemical Composition, Supernovae

Scientific paper

This paper investigates the effect that a variation in chemical composition has on the evolution of stars in the Cepheid domain as well as how this variation affects the resulting frequency-period distribution. A total of 12 evolutionary models are presented for five different chemical compositions, and pulsation theory is used in defining the instability strip and other relevant relationships. Theoretical composition-dependent frequency-period distributions are constructed and compared with the distributions observed in the Galaxy, the Large and Small Magellanic Clouds, M31, NGC 6822, M33, and IC 1613. The results show that: (1) either a decrease in Z or an increase in Y produces a brighter star for any mass; (2) the evolutionary track during core helium burning can reach higher surface temperatures as Z is decreased; (3) the temperature behavior of an evolutionary track is a parabolic function of Y; (4) all features of the frequency-period distribution are displaced to larger values of the period as either Z or Y is increased; and (5) the observed distribution in any galaxy cannot be matched exactly to a theoretical distribution constructed with models of one fixed composition. It is inferred that the character of the observed distribution for any galaxy depends on the existence of a composition spread and composition gradients, the form of the galactic birthrate function, and selection effects. A birthrate function with at least two components is postulated.

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