Hydrostatic reaction of the Sun to local disturbances.
Abstract
The reaction of the solar structure to elementary perturbations is modeled mathematically. The principal assumptions of the model of structure and equilibrium are linearization, a mixing-length formalism, and spherical symmetry. The resulting linearized boundary-value problem is solved with both analytical and numerical methods, and luminosity and radius response functions for different perturbation depths are shown. The quantity W (= delta ln R/delta ln L) is found to be quite frequency dependent, explaining the discrepancies among previous W computations. It is suggested that the model presented here can be applied to study the relationship of solar activity to luminosity, radius, the frequency of the 5-min oscillations, or other observable parameters.
- Publication:
-
Astronomy and Astrophysics
- Pub Date:
- July 1983
- Bibcode:
- 1983A&A...124...11D
- Keywords:
-
- Hydrostatics;
- Solar Physics;
- Stellar Structure;
- Boundary Value Problems;
- Linearization;
- Numerical Integration;
- Perturbation;
- Solar Activity;
- Solar Oscillations;
- Stellar Luminosity;
- Solar Physics;
- Perturbations:Sun;
- Sun:Perturbations