Flux Ropes Embedded In A Radial Magnetic Field: Analytic Solutions For The External Magnetic Field

Details Flux Ropes Embedded In A Radial Magnetic Field: Analytic Solutions For The External Magnetic Field Flux Ropes Embedded In A Radial Magnetic Field: Analytic Solutions For The External Magnetic Field

Nov 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000soph..197..135s&link_type=abstract

Solar Physics, v. 197, Issue 1, p. 135-148 (2000).

Physics

6

Scientific paper

We present a new exact solution of the magnetostatic equations, describing a flux rope embedded in a radial magnetic field. Its axis is perpendicular to the radial direction and parallel to the ecliptic plane and it has a radius r_0 and an arbitrary angular distance θ_0 to the polar axis of the Sun. We outline the general method of how one can gain a new solution of the magnetostatic equations by rotating the vector potential of a known solution by an angle θ_0 in the r-θ plane. Using the flux-rope solution, a construction procedure for an approximate solution which describes a torus around the polar axis and which is embedded in a radial magnetic field is given. The method has considerable potential as a tool for initializing numerical simulations.

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