A convenient method to obtain stellar eigenfrequencies

Details A convenient method to obtain stellar eigenfrequencies A convenient method to obtain stellar eigenfrequencies

Jan 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983soph...82..331k&link_type=abstract

(International Astronomical Union and Akademiia Nauk SSSR, Colloquium on Problems of Solar and Stellar Oscillations, 66th, Nauch

Astronomy and Astrophysics

Astrophysics

2

Eigenvalues, Stellar Oscillations, Algebra, Astrophysics, Differential Equations, Eigenvectors, Frequency Response, Perturbation Theory, Stellar Models

Scientific paper

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. The Cowling-approximation is employed, i.e. the Eulerian perturbation of the gravitational potential is neglected, and, in order to preserve selfadjointness, it is stipulated that the Eulerian pressure perturbation vanishes at the outer boundary. For a solar model, comparison of first results with results obtained from a Henyey methods shows that the matrix method is convenient, accurate, and fast.

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