Issue |
A&A
Volume 409, Number 2, October II 2003
|
|
---|---|---|
Page(s) | 677 - 688 | |
Section | Stellar structure and evolution | |
DOI | https://doi.org/10.1051/0004-6361:20031098 | |
Published online | 17 November 2003 |
Tidal perturbations of linear, isentropic oscillations in components of circular-orbit close binaries
II. Validity of the perturbation method applied to equilibrium tides
Instituut voor Sterrenkunde, Katholieke Universiteit Leuven, Belgium
Corresponding author: P. Smeyers, Paul.Smeyers@ster.kuleuven.ac.be
Received:
7
May
2003
Accepted:
7
July
2003
The paper is devoted to a verification of the validity of a first-order perturbation method that was developed in an earlier paper and allows one to determine the effects of an equilibrium tide on linear, isentropic oscillations of a component in a close binary.
The verification is done by a comparison between results obtained by the perturbation method and results obtained in other ways, in the cases of two simple models: the compressible equilibrium sphere with uniform mass density and the polytropic model with index .
In the first case, a comparison is made with second-harmonic oscillations in compressible Jeans spheroids with a small eccentricity, and in the second case, with results determined by Saio (1981) for a rotationally and tidally distorted polytrope.
For the comparison, the second-harmonic oscillations of the incompressible and the compressible Jeans spheroids are redetermined by means of a method of direct integration of the governing equations which has the advantage of yielding exact analytical solutions of the eigenfrequency equations.
Key words: stars: binaries: close / stars: oscillations / methods: analytical
© ESO, 2003
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