Magnetic field in an elliptic flux rope: a generalization of the Lundquist solution

Physics

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Force-Free Magnetic Field, Flux Ropes, Magnetic Clouds

Scientific paper

Magnetic fields in interplanetary flux ropes are commonly described by a force-free solution with constant alpha in a circular cylinder found by Lundquist (1950). However, both MHD simulations (Vandas et al., 1995, 2002; Cargill et al., 1996) and detailed analyses of spacecraft measurements (Mulligan & Russell, 2001) indicate that interplanetary flux ropes have not a circular cross section, but they are quite oblate. We present a solution for force-free magnetic field with constant alpha in an elliptic cylinder. This analytical solution can be regarded as a generalization of the Lundquist solution.

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