The magnetic field around quiescent solar prominences computed from observational boundary conditions

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Boundary Conditions, Solar Magnetic Field, Solar Prominences, Boundary Value Problems, Current Sheets, Magnetic Field Configurations, Photosphere

Scientific paper

A generalization of Anzer's model (1972) for quiescent prominence support is presented. The coronal field is assumed to be current-free except inside the prominence where currents support dense material against gravity. The prominence is taken to be an infinitely thin current sheet of finite extent along the vertical axis. The hypothesis of two-dimensional fields allows the use of complex functions to solve the mixed boundary problem which is defined by the observed vertical field in the photosphere and the horizontal magnetic field in the prominence. These boundary conditions are not sufficient to determine a unique solution for the magnetic field. The indeterminacy is decreased by physical considerations, and some models for Normal (N) and Inverse (I) configurations are presented. In both cases it is possible to find field configurations which can support the fintie prominence against gravity.

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