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Asymptotic expansions for acoustical modes of the homogeneous compressible model

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Abstract

The behavior ofp-modes of high degree and high order in the homogeneous compressilbe model is examined. The second-order differential equation of Pekeris is used to construct asymptotic expansions near the centre and near the surface, which are singular points, and near the turning point of that equation. An equation for the frequencies is obtained by requiring the continuity of the asymptotic solutions and of their first derivatives. Numerical applications are considered.

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Authors and Affiliations

  1. Astronomisch Instituut, Katholieke Universiteit Leuven, Belgium

    J. Denis

  2. Koninklijke Sterrenwacht van België, Belgium

    J. Denoyelle

  3. Astronomisch Instituut, Katholieke Universiteit Leuven, Belgium

    P. Smeyers

Authors
  1. J. Denis
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  2. J. Denoyelle
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  3. P. Smeyers
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Denis, J., Denoyelle, J. & Smeyers, P. Asymptotic expansions for acoustical modes of the homogeneous compressible model. Astrophys Space Sci 37, 221–233 (1975). https://doi.org/10.1007/BF00646074

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  • DOI: https://doi.org/10.1007/BF00646074

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