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Astron. Astrophys. 348, 1000-1004 (1999)


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Research Note

A new method for calculating a special class of self-consistent three-dimensional magnetohydrostatic equilibria

Thomas Neukirch 1 and Lutz Rastätter 2

1 School of Mathematical and Computational Sciences, University of St. Andrews, St. Andrews, Fife KY16 9SS, Scotland, UK (thomas@mcs.st-and.ac.uk)
2 Laboratory for Extraterrestrial Physics, NASA Goddard Space Flight Center, Greenbelt, MD 20771, USA (Lutz.Rastatter@gsfc.nasa.gov)

Received 22 March 1999 / Accepted 1 June 1999

Abstract

A new mathematical formulation for calculating a special class of self-consistent three-dimensional magnetohydrostatic equilibria in Cartesian and spherical coordinates is presented. The method uses a representation of the magnetic field in terms of poloidal and toroidal field components which automatically guarantees the solenoidal character of the magnetic field. This representation is commonly used in the theory of linear force-free magnetic fields. One advantage of this representation of the magnetic field is that the calculation involves only one scalar function whereas in previous treatments one was forced to operate with all three components of the magnetic field independently.

Key words: Sun: magnetic fields – magnetic fields – methods: analytical

Send offprint requests to: Thomas Neukirch

Correspondence to: Thomas Neukirch

© European Southern Observatory (ESO) 1999

Online publication: August 13, 199

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