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Fourier Analysis of the Hydrodynamic Limit-Cycle Models of Pulsating Stars

Published online by Cambridge University Press:  12 April 2016

YU. A. Fadeyev
YU. A. Fadeyev*
Affiliation:
Institute for Astronomy of the Bussian Academy of SciencesandInstitute for Mathematics of the Vienna University

Abstract

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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 Π0/Πl = k the harmonics of order k is also identified 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.

Type
III. Models
Information
International Astronomical Union Colloquium , Volume 134: Nonlinear Phenomena in Stellar Variability , 1993 , pp. 261 - 267
Copyright
Copyright © Kluwer 1993

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