A new method for calculating a special class of self-consistent three-dimensional magnetohydrostatic equilibria
Thomas Neukirch 1 and
Lutz Rastätter 2
Received 22 March 1999 / Accepted 1 June 1999
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
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Correspondence to: Thomas Neukirch
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© European Southern Observatory (ESO) 1999
Online publication: August 13, 199