Abstract
The oscillations of a polytrope with infinite electric conductivity containing a weak internal poloidal magnetic field which is continuous with an external dipole field are examined with the aid of a variational equation. The corrections to the fundamental characteristic frequencies of the radial and non-radiall=2 pulsation modes are calculated. The magnetic field removes a degeneracy which occurs between these two modes and the resulting frequency splitting is evaluated. The relevance of the results to the known magnetic stars is briefly discussed.
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References
Anand, S. P. S.: 1969,Astrophys. Space Sci. 3, 306.
Babcock, H. W.: 1958,Astrophys. J. Suppl. 3, 141.
Chandrasekhar, S. and Lebovitz, N. R.: 1962,Astrophys. J. 136, 1082.
Chandrasekhar, S. and Lebovitz, N. R.: 1964,Astrophys. J. 140, 1517.
Chandrasekhar, S. and Limber, N.: 1954,Astrophys. J. 119, 10.
Clement, M. J.: 1965,Astrophys. J. 141, 210.
Fahlman, G. G.: 1971, submitted toAstrophys. Letters.
Hurley, M., Roberts, P. H., and Wright, K.: 1966,Astrophys. J. 143, 535.
Kovetz, A.: 1966,Astrophys. J. 146, 462.
Ledoux, P. and Walraven, Th.: 1958, inEncyclopedia of Physics, Springer Verlag, Berlin p. 353.
Monaghan, J. J.: 1965,Monthly Notices Roy. Astron. Soc. 131, 105.
Monaghan, J. J.: 1966a,Monthly Notices Roy. Astron. Soc. 132, 1.
Monaghan, J. J.: 1966b,Monthly Notices Roy. Astron. Soc. Soc. 134, 275.
Monaghan, J. J.: 1968,Z. Astrophys. 69, 146.
Preston, G. W.: 1969,Astrophys. J. 156, 967.
Rakos, K. D.: 1963,Lowell Obs. Bull. 6, 91.
Rakos, K. D.: 1966, Kleine Veroff. Remeis-Sternw. Bamberg, No. 40 (3rd IAU Colloquium on Variable Stars), p. 30.
Roxburgh, I. W.: 1963a,Monthly Notices Roy. Astron. Soc. 126, 67.
Roxburgh, I. W.: 1963b, in R. Lüst (ed.), ‘Stellar and Solar Magnetic Fields’,IAU Symp. 22, 103.
Roxburgh, I. W.: 1966,Monthly Notices Roy. Astron. Soc. 132, 347.
Roxburgh, I. W. and Durney, B. R.: 1967,Monthly Notices Roy. Astron. Soc. 135, 329.
Singh, S. and Tandon, J. N.: 1969,Astron. Astrophys. 2, 266.
Sinha, N. K.: 1968,Australian J. Phys. 21, 283.
Sood, N. K. and Trehan, S. K.: 1970,Astrophys. Space Sci. 8, 422.
Tassoul, J. L.: 1968,Monthly Notices Roy. Astron. Soc. 138, 123.
Trasco, J. D.: 1970,Astrophys. J. 161, 633.
Van der Borght, R.: 1967,Australian J. Phys. 20, 643.
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Fahlman, G.G. The effect of a poloidal magnetic field on the radial and non-radial oscillations of a gaseous mass. Astrophys Space Sci 12, 424–455 (1971). https://doi.org/10.1007/BF00651431
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DOI: https://doi.org/10.1007/BF00651431