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A convenient method to obtain stellar eigenfrequencies

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Abstract

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.

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Authors and Affiliations

  1. Kiepenheuer-Institut für Sonnenphysik, Schöneckstr. 6, D-7800, Freiburg i.Br., F.R.G.

    M. Knölker & M. Stix

Authors
  1. M. Knölker
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  2. M. Stix
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Additional information

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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Knölker, M., Stix, M. A convenient method to obtain stellar eigenfrequencies. Sol Phys 82, 331–341 (1983). https://doi.org/10.1007/BF00145572

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