On a uniformly rotating magnetic polytrope. I - The equilibrium structure and oscillation with a large general magnetic field. II - The equilibrium structure with a large toroidal magnetic field

Details On a uniformly rotating magnetic polytrope. I - The equilibrium structure and oscillation with a large general magnetic field. II - The equilibrium structure with a large toroidal magnetic field On a uniformly rotating magnetic polytrope. I - The equilibrium structure and oscillation with a large general magnetic field. II - The equilibrium structure with a large toroidal magnetic field

Jul 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977ap%26ss..49..261d&link_type=abstract

Astrophysics and Space Science, vol. 49, no. 2, July 1977, p. 261-275. Research supported by the Council of Scientific and Indu

Astronomy and Astrophysics

Astrophysics

12

Equilibrium Equations, Magnetic Field Configurations, Magnetic Stars, Self Oscillation, Stellar Magnetic Fields, Stellar Rotation, Gravitational Effects, Modal Response, Runge-Kutta Method, Tensor Analysis, Toroids

Scientific paper

The magnetic field and equilibrium structure of a uniformly rotating polytrope with a prevalent general magnetic field that vanishes on the equilibrium surface are determined. It is found that the ratio between the toroidal and poloidal fields decreases as the strength of the magnetic field increases, that the effect of the toroidal field component diminishes in the presence of rotation, and that the radius of both a rotating and a nonrotating star increases with increasing magnetic-field energy. A virial tensor method is used to compute the oscillation frequency of the transverse shear, toroidal, and pulsation modes of a uniformly rotating polytrope with a general magnetic field. The results are then applied to obtain the equilibrium structure of a uniformly rotating magnetic polytrope in the presence of a large toroidal field for polytropic indices of 1.0, 1.5, 2.0, and 3.0. It is concluded that the contribution of higher-order nonspherical terms is significant for rather large magnetic fields.

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