The filamentary structure in sunspots

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Equilibrium Equations, Penumbras, Perturbation Theory, Solar Magnetic Field, Solar Prominences, Sunspots, Dynamic Stability, Magnetostatics

Scientific paper

An analytical model of the filamentary structure of sunspots is developed within the framework of magnetostatic-equilibrium theory and a small-perturbation assumption, neglecting convective motion and considering dynamic equilibrium only. Following the method of Hu et al. (1983), zeroeth and first order solutions of the nonaxisymmetric equilibrium equations are obtained, corresponding to the overall structure of the sunspot and to its filamentary structures. The dark filaments of the penumbral region are shown to be related to stronger magnetic fields, as observed by Beckers and Schroeter (1968).

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