Toroidal plasma equilibrium with gravity

Mathematics

Scientific paper

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Magnetic Field Configurations, Stellar Magnetic Fields, Toroidal Plasmas, Magnetic Flux, Mathematical Models, Plasma Equilibrium, Stellar Gravitation, Sunspot Cycle

Scientific paper

Toroidal magnetic field configuration in a gravitational field is calculated both from a simple force balance and from the calculation using magnetic surfaces. The configuration is found which is positionally stable in a star. The vibrational frequency near the equilibrium point is proportional to the hydrostatic frequency of a star multiplied by the ratio (W sub B/W/sub M) (1/2) where W sub B is the magnetic field energy density, and W sub M is the material pressure at the equilibrium point. It is proposed that this frequency may account for the observed solar spot cycles.

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