G-mode pulsations in polytropes - High-precision eigenvalues and the approach to asymptotic behavior

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Asymptotic Methods, Eigenvalues, Polytropic Processes, Solar Oscillations, Brunt-Vaisala Frequency, Gravitational Waves, Solar Interior, Spherical Harmonics

Scientific paper

In an extension of previous work on oscillations of polytropes, high precision eigenfrequencies for the g-modes are obtained. The range of periods covered here extends from a fraction of 1 hr to 100,000 s for a polytrope with solar mass and radius. The results are presented in a format which indicates quantitatively how the period separations between adjacent modes approaches the asymptotic behavior predicted by Tassoul (1980). As before, the oscillation code is based on the Cowling approximation (as assumed by Tassoul).

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