Force-free field inside a toroidal magnetic cloud

Details Force-free field inside a toroidal magnetic cloud Force-free field inside a toroidal magnetic cloud

Oct 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003georl..30tssc8r&link_type=abstract

Geophysical Research Letters, Volume 30, Issue 20, pp. SSC 8-1, CiteID 2065, DOI 10.1029/2003GL017692

Astronomy and Astrophysics

Astrophysics

9

Interplanetary Physics: Ejecta, Driver Gases, And Magnetic Clouds, Interplanetary Physics: Interplanetary Magnetic Fields, Interplanetary Physics: Solar Wind Plasma, Solar Physics, Astrophysics, And Astronomy: Coronal Mass Ejections, And Astronomy: Magnetic Fields

Scientific paper

An analytical solution of force-free magnetic fields inside a toroid with an arbitrary aspect ratio was found. A scalar equation was derived which when solved gives the heart of the solution of the vector field in toroidal coordinates, in closed form in terms of hypergeometric functions. The solution can be used for interpretation of magnetic cloud measurements in the interplanetary space. If it is assumed that a magnetic cloud is a large loop with roots at the Sun, then its part can be locally treated as a part of a toroid. The former solution by Miller and Turner [1981] was limited only to larger aspect ratios. The presented solution coincides with the Lundquist [1950] one for cylindrical clouds in case of a very large aspect ratio torus.

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