Axisymmetric spherical harmonic decomposition of the pulsation modes in rapidly oscillating AP stars

Statistics – Computation

Scientific paper

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A Stars, Peculiar Stars, Spherical Harmonics, Stellar Oscillations, Stellar Rotation, Computational Astrophysics, Stellar Models, Vibration Mode

Scientific paper

Several of the rapidly oscillating Ap stars have frequency spectra which show frequency triplets split exactly equally by the rotation frequency of the star. Recently, one of these stars, HR 3831, has been found to have an equally split frequency septuplet. None of those frequency multiplets can be described adequately by a single spherical harmonic pulsation mode. In this paper a method is presented for modeling the observed frequency spectrum of a rapidly oscillating Ap star as a sum of axisymmetric spherical harmonics of low degree within the assumptions of the oblique pulsator model. It is shown that such a sum with l not greater than 3 is sufficient to describe the observations.

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