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Magnetically distorted polytropes

II: Non-radial oscillations

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Abstract

The fundamental frequencies of the non-radial mode of oscillation belonging to the second harmonic (l=2) of magnetically distorted polytropic gas spheres are evaluated in the ‘second approximation’ by a variational method. The magnetic field is assumed to have both the toroidal and the poloidal components. We find that the frequencies of oscillation are increased due to the presence of the magnetic field and that these depend only slightly on the value of γ, the ratio of the specific heats. We have also determined the value of γ<1+1/n for the mode of oscillation which exhibits convective instability. This value is lower than the one which is obtained in the absence of a magnetic field.

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Author notes

  1. S. K. Trehan

    Present address: Dept. of Mathematics, Panjab University, 160014, Chandigarh, India

Authors and Affiliations

  1. Dept. of Aerospace Engineering Sciences, University of Colorado, Boulder, Colo., USA

    Dana F. Billings

  2. Dept. of Mathematics, Simon Fraser University, Burnaby, B.C., Canada

    Manohar Singh & S. K. Trehan

Authors
  1. Dana F. Billings
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  2. Manohar Singh
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  3. S. K. Trehan
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Billings, D.F., Singh, M. & Trehan, S.K. Magnetically distorted polytropes. Astrophys Space Sci 25, 457–469 (1973). https://doi.org/10.1007/BF00649185

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  • DOI: https://doi.org/10.1007/BF00649185

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