Statistics – Computation
Scientific paper
Nov 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apjs...65..429s&link_type=abstract
Astrophysical Journal Supplement Series (ISSN 0067-0049), vol. 65, Nov. 1987, p. 429-449. Research sponsored by FCAR.
Statistics
Computation
31
Asymptotic Methods, Solar Oscillations, Stellar Interiors, Stellar Rotation, Variable Stars, Computational Astrophysics, Differential Equations
Scientific paper
The high-radial-order low-degree spherical-harmonic p and g oscillation modes of a spherically symmetric star are investigated analytically. Beginning from second-order differential equations expressed in a single dependent variable, a set of higher-order asymptotic approximations is obtained. In a large domain of the star, the amplitude ratio of the transverse and radial components of the Lagrangian displacement for high-order p and g modes is shown to be of the order of the reciprocal of the eigenfrequency. These results are applicable to the modeling of nonradial oscillations observed on the surface of the sun.
Smeyers Paul
Tassoul Monique
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