Differential rotation of a nonspherical polytropic star

Statistics – Computation

Scientific paper

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Computational Astrophysics, Polytropic Processes, Stellar Magnetic Fields, Stellar Rotation, Angular Velocity, Hydrodynamic Equations, Magnetic Field Configurations, Stellar Temperature

Scientific paper

A single-parameter family of solutions to MHD equations is obtained using the approximation of an ideal and a perfectly conducting polytropic gas in the case where the ratio of inertial forces to hydrodynamic pressure forces is small and the phi-component of the magnetic field intensity is absent. Out of an infinite set, a solution is selected which satisfies the principle of the integral electromagnetic energy minimum. The magnetic field of the star is uniquely determined by the characteristic value of differential rotation, and the perturbed radius of the star surface is also dependent on the characteristic angular velocity. A polynomial dependence of the squared angular velocity on the star surface and of the perturbed radius on sin-squared theta is established.

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