Hydrostatic reaction of the sun to local disturbances

Details Hydrostatic reaction of the sun to local disturbances Hydrostatic reaction of the sun to local disturbances

Jul 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983a%26a...124...11d&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 124, no. 1, July 1983, p. 11-22. Research supported by the Swiss National Scie

Physics

21

Hydrostatics, Solar Physics, Stellar Structure, Boundary Value Problems, Linearization, Numerical Integration, Perturbation, Solar Activity, Solar Oscillations, Stellar Luminosity

Scientific paper

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.

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