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Radial and non-radial oscillations of spherically symmetric stellar systems

Published online by Cambridge University Press:  03 August 2017

Yousef Sobouti
Yousef Sobouti*
Affiliation:
Department of Physics and Biruni Observatory, Shiraz University, Shiraz, Iran

Abstract

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In an expansion scheme in velocity space, the first order perturbations of a stellar system bear close resemblance to those of a fluid. This feature is exploited to study the structure of the Hilbert space of the linear perturbations of a stellar system, to provide a classification for the modes, and to construct ansatz for variational calculations. The first order non-radial modes appear to be trispectral in that they are predominantly derived from a scalar potential, a toroidal vector potential, or a poloidal vector potential. The eigenfrequencies and the eigenfunctions of radial (ℓ = 0) and non-radial (ℓ, = 1) modes of polytropes and of truncated isothermal distributions are calculated. The density waves associated with these modes are also reported.

Type
Chapter 2: Theory of Solar Oscillations
Information
Symposium - International Astronomical Union , Volume 123: Advances In Hello- and Asteroseismology , 1988 , pp. 191 - 194
Copyright
Copyright © Reidel 1988 

References

Antonov, V.A., 1962, Vestnik Leningrad gos. Univ. 19, 69.Google Scholar
Dorémus, J.P., Feix, M.R. and Baumann, G., 1970, Astron. Astrophys. 5, 280.Google Scholar
Dorémus, J.P., Feix, M.R., Baumann, G., 1971, Phys. Rev. Lett. 26, 725.Google Scholar
Elsasser, W.M., 1946, Phys. Rev. 69, 106.Google Scholar
Sobouti, Y., 1981, Astron. Astrophys. 100, 319.Google Scholar
Sobouti, Y., 1981, Astron. Astrophys. 140, 82.Google Scholar
Sobouti, Y., 1985, Astron. Astrophys. 147, 6l.Google Scholar
Sobouti, Y., 1986, Astron. Astrophys., to appear.Google Scholar