The effect of a toroidal magnetic field on the non-radial oscillations of polytropes |
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| Authors: | M J Miketinac |
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| Institution: | (1) Dept. of Applied Mathematics, University of Cape Town, Republic of South Africa |
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| Abstract: | Frequencies of non-radial oscillation of polytropic models of stars, belonging to spherical harmonics of ordersl=1, 2 and 3, are evaluated, in a  second approximation , by a variational method. Equilibrium configurations in the presence of toroidal magnetic fields are obtained numerically without any restriction on the field strength. The value of the ratio of the specific heats,  , is assumed to be equal to 5/3 and only two polytropic indeces,n=1.5 and 3.0, are considered. It is found that a polytropic star stays stable for magnetic fields considerably stronger than expected from the results obtained by the weak field perturbation methods. |
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