Abstract
In this paper a method is proposed for computing the eigenfrequencies of small adiabatic barotropic modes of oscillations of rotationally and tidally-distorted stars. The method utilizes Kippenhahn and Thomas approach and concepts of Roche equipotentials to incorporate up to second-order the effects of rotation and tidal distortion terms on the eigenfrequencies. The proposed method has also been used to compute the eigenfrequencies of certain barotropic modes of oscillation of some rotationally and tidally distorted models of 10M ⊙, and 2.5M ⊙ Main-Sequence stars.
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Bernard, R. Durney, Hill, F., and Goode, P.R.: 1988,Astrophys. J. 326, 486.
Chandrasekhar, S. and Lebovitz, N. R.: 1962,Astrophys. J. 136, 1982.
Clement, M. J.: 1964,Astrophys. J. 140, 1045.
Cox, J. P.: 1980,Theory of Stellar Pulsations, Princeton University Press, Princeton.
Denis, J.: 1972,Astron. Astrophys. 20, 151.
Kippenhahn, R. and Thomas, H. C.: 1970, in A. Slettebak (ed.),Stellar Rotation, D. Reidel Publ. Co., Dordrecht, Holland, p. 20.
Kopal, Z.: 1972,Adv. Astron. Astrophys. 9, 1.
Kopal, Z.: 1981,Astrophys. Space Sci. 76, 187.
Kopal, Z.: 1987a,Astrophys. Space Sci. 133, 157.
Kopal, Z.: 1987b,Astrophys. Space Sci. 134, 55.
Kopal, Z.: 1989,The Roche Problem and its Significance for Double Star Astronomy, Kluwer Academic Publ., Dordrecht, Holland.
Ledoux, P. and Walraven, T.: 1958, in S. Flügge (ed.),Handbuch d. Phys. 51, 338.
Martin, S. L. and Smeyers, P.: 1982,Astron. Astrophys. 106, 317.
Mohan, C. and Agarwal, S. R.: 1987,Astrophys. Space Sci. 129, 73.
Mohan, C. and Saxena, R. M.: 1985,Astrophys. Space Sci. 113, 155.
Mohan, C., Saxena, R. M., and Agarwal, S. R.: 1990,Astrophys. Space Sci. 163, 23.
Rosseland, S.: 1949,The Pulsation Theory of Variable Stars, Clarendon Press, Oxford.
Saio, H.: 1981,Astrophys. J. 244, 299.
Saxena, R. M.: 1984, ‘The Effects of Rotation and Tidal Distortions on the Structure and Periods of Small Oscillations of Gaseous Spheres’, Ph.D. Thesis, Roorkee University, Roorkee, India.
Simon, R.: 1970, in A. Slettebak (ed.),Stellar Rotation, D. Reidel Publ. Co., Dordrecht, Holland, p. 37.
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Mohan, C., Saxena, R.M. & Agarwal, S.R. Eigenfrequencies of small adiabatic barotropic modes of oscillations of rotationally and tidally-distorted stars. Astrophys Space Sci 178, 89–105 (1991). https://doi.org/10.1007/BF00647117
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DOI: https://doi.org/10.1007/BF00647117