Fourier coefficients of variable stars

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Cepheid Variables, Fourier Analysis, Light Curve, Spectrum Analysis, Coefficients, Stellar Composition, Stellar Gravitation, Stellar Mass, Stellar Models, Tables (Data)

Scientific paper

The results of Fourier analysis of the adiabatic pulsations of a single homogeneous layer of a sphere with a fixed lower boundary are presented. In this nonlinear problem there are only two adjustable parameters: the thickness of the layer and the initial amplitude of the oscillation, both directly related to actual stars. The changes in the fitting coefficients as these parameters are varied are studied, and the results are related to analyses of actual stars. Fourier amplitudes are found that are primarily functions of the skewness of the velocity curves and vary in a fashion consistent with the behavior of observed stars. These phases, however, tend to vary discontinuously as the parameters are varied, an effect only rarely seen in the observations. It is shown that the pattern of phases for different harmonics is more important than the actual values, and that these patterns can be found in observations of RR Lyrae stars and Cepheids.

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