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An explanation of the dimensions of penumbral filaments
Authors:Zhou Dao-qi
Institution:

Beijing Astronomical Observatory, Chinese Academy of Sciences, China

Abstract:Unstable pertubation modes exist in the magnetic field of penumbral electric current and I think the penumbral filaments are formed from the development of such modes. Under the short wave approximation the non-adiabatic dispersion equation is solved in the radial and transverse directions of the sunspot. From the condition of instability the length and width of the penumbral filament can be evaluated and it is found that the filament mode is static in the direction of the length and is non-moving in the direction of the width, that the penumbral filaments are a feature of the sunspot magnetic flow under gravity and that the presence of the filaments implies the existence of a twisted magnetic field.
Keywords:Sunspots—Penumbral filaments—MHD instability
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