Abstract
A generalization of the perturbation method is applied to the problem of the radial and the non-radial oscillations of a gaseous star which is distorted by a magnetic field. An expression is derived for the perturbation of the oscillation frequencies due to the presence of a weak magnetic field when the equilibrium configuration is a spheroid. The particular application to the homogeneous model with a purely poloidal field inside, due to a current distribution proportional to the distance from the axis of symmetry, and a dipole type field outside is considered in detail. The main result is that the magnetic field has a large and almost stabilizing effect on unstableg-modes, particularly on higher order modes. With the considered magnetic field the surface layers appear to have a large weight.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Anand, S. P. S.: 1969,Astrophys. Space Sci. 4, 255.
Chandrasekhar, S.: 1961,Hydrodynamic and Hydromagnetic Stability, Clarendon Press, Oxford, Ch. 13.
Chandrasekhar, S. and Limber, D. N.: 1954,Astrophys. J. 119, 10.
Chandrasekhar, S. and Prendergast, K. H.: 1956,Proc. Nat. Acad. Sci. 42, 5.
Fahlman, G. G.: 1971,Astrophys. Space Sci. 12, 424.
Ferraro, V. C. A.: 1954,Astrophys. J. 119, 407.
Kovetz, A.: 1966,Astrophys. J. 146, 462.
Ledoux, P.: 1967, in R. C. Cameron (ed.),The Magnetic and Related Stars, Mono Book Corporation, Baltimore, p. 65.
Ledoux, P. and Simon, R.: 1957,Ann. Astrophys. 20, 185.
Monaghan, J. J.: 1965.Monthly Notices Roy. Astron. Soc. 131, 105.
Prendergast, K. H.: 1956,Astrophys. J. 123, 498.
Prendergast, K. H.: 1958,Astrophys. J. 128, 361.
Roberts, P. H.: 1955,Astrophys. J. 122, 508.
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.
Sauvenier-Goffin, E.: 1951,Bull. Soc. Roy. Sc. Liège,20, 20.
Simon, R.: 1969,Astron. Astrophys. 2, 390.
Singh, S. and Tandon, J. N.: 1969,Astron. Astrophys. 2, 266.
Smeyers, P.: 1966,Bull. Acad. Roy. Belg. Classe Sci. 52, 1031.
Smeyers, P. and Denis, J.: 1971.Astron. Astrophys. 14, 311.
Sood, N. K. and Trehan, S. K.: 1971.Astrophys. Space Sci. 8, 442.
Sood, N. K. and Trehan, S. K.: 1971,Astrophys. Space Sci. 10, 393.
Tassoul, J. L.: 1968,Monthly Notices Roy, Astron. Soc. 138, 123.
Wentzel, D. G.: 1962,Astrophys. J. 135, 593.
Woltjer, L.: 1962,Astrophys. J. 135, 235.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Goossens, M. Perturbation of the radial and non-radial oscillations of a star by a magnetic field. Astrophys Space Sci 16, 386–404 (1972). https://doi.org/10.1007/BF00642338
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00642338