On non-adiabatic oscillations of gaseous systems in hydromagnetics |
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| Authors: | Serge Pineault S P S Anand |
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| Institution: | (1) David Dunlap Observatory, University of Toronto, Richmond Hill, Ontario, Canada |
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| Abstract: | The general variational principle obtained by Unno for the study of stellar stability is extended to include the effects of magnetic fields in the general case where the perturbations are nonadiabatic. The unperturbed configuration is non-rotating, but internal motions are possible.A general stability equation is derived, using the modified variational principle. In the simplest case, this equation is identical to the one derived by Unno except for the appearance of magnetic terms in one of the coefficients (through the Lorentz force). If dissipation is neglected, the characteristic equation reduces to the one derived by Frieman and Rotenberg in the stationary case and by Kovetz in the static case.The stability of magnetic stars against homologous oscillations is examined and the usual result for the dynamical mode is obtained. |
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