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A Convenient Method to Obtain Stellar Eigenfrequencies***

Published online by Cambridge University Press:  12 April 2016

M. Knölker  and
M. Stix
M. Knölker
Affiliation:
Kiepenheuer-Institut für Sonnenphysik, Schöneckstr. 6, D-7800 Freiburg i.Br., F.R.G.
M. Stix
Affiliation:
Kiepenheuer-Institut für Sonnenphysik, Schöneckstr. 6, D-7800 Freiburg i.Br., F.R.G.

Abstract

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The differential equations describing stellar oscillations are transformed into an algebraic eigenvalue problem. Frequencies of adiabatic oscillations are obtained as the eigenvalues of a banded real symmetric matrix. We employ the Cowling-approximation, i.e. neglect the Eulerian perturbation of the gravitational potential, and, in order to preserve selfadjointness, require that the Eulerian pressure perturbation vanishes at the outer boundary. For a solar model, comparison of first results with results obtained from a Henyey method shows that the matrix method is convenient, accurate, and fast.

Type
Research Article
Information
International Astronomical Union Colloquium , Volume 66: Problems of Solar and Stellar Oscillations , 1983 , pp. 331 - 341
Copyright
Copyright © Reidel 1983

Footnotes

*

Proceedings of the 66th IAU Colloquium: Problems in Solar and Stellar Oscillations, held at the Crimean Astrophysical Observatory, U.S.S.R., 1-5 September, 1981.

**

Mitteilungen aus dem Kiepenheuer-Institut Nr. 213.

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