Asymptotic Approximations for Higher Order Nonradial Oscillations of a Spherically Symmetric Star
Abstract
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.
- 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