Fourier analysis of the hydrodynamic limit-cycle models of pulsating stars

Details Fourier analysis of the hydrodynamic limit-cycle models of pulsating stars Fourier analysis of the hydrodynamic limit-cycle models of pulsating stars

Dec 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993ap%26ss.210..261f&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 210, no. 1-2, p. 261-267 (IAU Colloquium 134)

Astronomy and Astrophysics

Astrophysics

1

Cepheid Variables, Fourier Analysis, Harmonics, Hydrodynamics, Stellar Interiors, Stellar Oscillations, Astrophysics, Resonance, Stellar Models, Wave Packets

Scientific paper

The pulsation motions of the limit-cycle model can be described as a superposition of the Fourier harmonics, in the adiabatic layers each harmonics being identified with the corresponding standing wave. Near the resonance Pi0/Pil = k the harmonics of order k is also idenfitied with the overtone of order l. The spectra of the oscillatory moment of inertia obey to the power dependence on the Fourier harmonics order k. In cepheids with periods shorter than 9 days the bump is due to the wave packet generated by the second overtone, whereas at periods longer than 10 days the bump feature is due to the traveling pulse reflected off the stellar core.

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