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Eigenfrequencies of small adiabatic barotropic modes of oscillations of rotationally and tidally-distorted stars

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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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References

  • Bernard, R. Durney, Hill, F., and Goode, P.R.: 1988,Astrophys. J. 326, 486.

    Google Scholar 

  • Chandrasekhar, S. and Lebovitz, N. R.: 1962,Astrophys. J. 136, 1982.

    Google Scholar 

  • Clement, M. J.: 1964,Astrophys. J. 140, 1045.

    Google Scholar 

  • Cox, J. P.: 1980,Theory of Stellar Pulsations, Princeton University Press, Princeton.

    Google Scholar 

  • Denis, J.: 1972,Astron. Astrophys. 20, 151.

    Google Scholar 

  • Kippenhahn, R. and Thomas, H. C.: 1970, in A. Slettebak (ed.),Stellar Rotation, D. Reidel Publ. Co., Dordrecht, Holland, p. 20.

    Google Scholar 

  • Kopal, Z.: 1972,Adv. Astron. Astrophys. 9, 1.

    Google Scholar 

  • Kopal, Z.: 1981,Astrophys. Space Sci. 76, 187.

    Google Scholar 

  • Kopal, Z.: 1987a,Astrophys. Space Sci. 133, 157.

    Google Scholar 

  • Kopal, Z.: 1987b,Astrophys. Space Sci. 134, 55.

    Google Scholar 

  • Kopal, Z.: 1989,The Roche Problem and its Significance for Double Star Astronomy, Kluwer Academic Publ., Dordrecht, Holland.

    Google Scholar 

  • Ledoux, P. and Walraven, T.: 1958, in S. Flügge (ed.),Handbuch d. Phys. 51, 338.

    Google Scholar 

  • Martin, S. L. and Smeyers, P.: 1982,Astron. Astrophys. 106, 317.

    Google Scholar 

  • Mohan, C. and Agarwal, S. R.: 1987,Astrophys. Space Sci. 129, 73.

    Google Scholar 

  • Mohan, C. and Saxena, R. M.: 1985,Astrophys. Space Sci. 113, 155.

    Google Scholar 

  • Mohan, C., Saxena, R. M., and Agarwal, S. R.: 1990,Astrophys. Space Sci. 163, 23.

    Google Scholar 

  • Rosseland, S.: 1949,The Pulsation Theory of Variable Stars, Clarendon Press, Oxford.

    Google Scholar 

  • Saio, H.: 1981,Astrophys. J. 244, 299.

    Google Scholar 

  • 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.

    Google Scholar 

  • Simon, R.: 1970, in A. Slettebak (ed.),Stellar Rotation, D. Reidel Publ. Co., Dordrecht, Holland, p. 37.

    Google Scholar 

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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

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