On the multiplicity of the eigenvalues of nonradial stellar oscillations

Details On the multiplicity of the eigenvalues of nonradial stellar oscillations On the multiplicity of the eigenvalues of nonradial stellar oscillations

Feb 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980a%26a....82....8g&link_type=abstract

Astronomy and Astrophysics, vol. 82, no. 1-2, Feb. 1980, p. 8-13.

Astronomy and Astrophysics

Astrophysics

7

Astrodynamics, Eigenvalues, Stellar Models, Stellar Motions, Adiabatic Conditions, Equations Of Motion, Perturbation Theory, Resonance

Scientific paper

It is shown that the eigenvalues of nonradial oscillation for spherical configurations are at most double. The condition under which they are single is given. It is shown that during an avoided crossing two modes exchange their properties. During the interaction, the two eigenfunctions are weighted means of these eigenfunctions computed far from the interaction.

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