Fourier analysis of the hydrodynamic models of classical cepheids.

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Cepheids: Stellar Models, Cepheids: Hydrodynamics, Cepheids: Stellar Oscillations

Scientific paper

The hydrodynamic models of classical cepheids with pulsation periods from 3.7 to 32 days are calculated. The Fourier decomposition of the hydrodynamic solution has shown how each Fourier harmonics of the velocity and radius temporal dependences is identified with a corresponding overtone. The kinetic energy and oscillatory moment of inertia are distributed among the overtones according to the power law, the spectrum being steeper with decreasing nonadiabaticity of the pulsation motions. The travelling pulse responsible for the energy transfer from the He+ ionization zone into other layers of the envelope can be represented as a superposition of the overtones of the order higher than the principal mode. At periods longer than 10 days the secondary bump on the cepheid light curves is due to the appearance at the surface of the outwardly moving pulse reflected off the stellar core. In cepheids with periods from 6 to 9 days the secondary bump has another nature and is driven at the He+ ionization zone by the second overtone. In cepheids pulsating in the first overtone the Fourier harmonics of the order k ≥ 2 correspond to the even orders of the overtones.

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