Asymptotic Approximations for Higher Order Nonradial Oscillations of a Spherically Symmetric Star
Abstract
The highradialorder lowdegree sphericalharmonic p and g oscillation modes of a spherically symmetric star are investigated analytically. Beginning from secondorder differential equations expressed in a single dependent variable, a set of higherorder 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 highorder 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.
 Publication:

The Astrophysical Journal Supplement Series
 Pub Date:
 November 1987
 DOI:
 10.1086/191231
 Bibcode:
 1987ApJS...65..429S
 Keywords:

 Asymptotic Methods;
 Solar Oscillations;
 Stellar Interiors;
 Stellar Rotation;
 Variable Stars;
 Computational Astrophysics;
 Differential Equations;
 Astrophysics;
 STARS: INTERIORS;
 STARS: PULSATION;
 STARS: ROTATION;
 SUN: OSCILLATIONS