Cepheid Masses based upon Fourier Coefficient Resonances

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Scientific paper

The masses of Cepheids in the Milky Way, the LMC and the SMC are examined using the resonance of the Fourier coefficients R21 and φ 21 for both fundamental and overtone mode variables. Linear non-adiabatic models are used to define a range of possible masses and luminosities based upon the temperature, pulsation period and Fourier resonances of the observed stars. Cepheid models with fundamental periods within the observed range for the resonance of p0/p_2=2 were created as well as overtone mode pulsator models which have the resonance p1/p_4=2. The model parameters are used to define likely mass-luminosity relations for Cepheids in the three galaxies which are compared to other mass-luminosity relations such as those based upon evolutionay models, double mode Cepheids, bump Cepheids and binary Cepheids.

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