A Force-Free Magnetic Field Solution in Cyclidal Coordinates

Published 25 Oct 2023 in physics.gen-ph | (2310.17673v1)

Abstract: There are no known analytic solutions to the force-free magnetic field equations in coordinates representing Dupin cyclides. The fact that the curvature lines of Dupin cyclides are all circles is used here to derive a force-free magnetic field on the surface of an elliptic Dupin cyclide.

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Gerald E. Marsh

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