Nonaxisymmetric magnetostatic equilibrium in cylindrical coordinates and its application to sunspots

Computer Science

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Cylindrical Coordinates, Magnetostatics, Solar Magnetic Field, Sunspots, Equilibrium Equations, Magnetic Field Configurations, Pressure Distribution, Solar Prominences, Spherical Coordinates

Scientific paper

The present paper describes a general solution to the three-dimensional, two-component magnetostatic equations in cylindrical coordinates, assuming the total pressure (sum of gas pressure and magnetic pressure) is a function of the altitude only. By adjusting the two arbitrary functions appearing in the general solution one may produce various particular solutions which are not subjected to any limitation of perturbation conditions while applied to solar phenomena. Moreover, it is found that a particular solution can qualitatively elucidate the asymmetry of sunspots in shape in addition to the filamentary structure in sunspots.

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