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Astron. Astrophys. 356, 735-746 (2000)

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The Green's function method for a special class of linear three-dimensional magnetohydrostatic equilibria

G.J.D. Petrie and T. Neukirch

School of Mathematical and Computational Sciences, University of St. Andrews, St. Andrews, Scotland KY16 9SS

Received 28 September 1999 / Accepted 7 February 2000


We present the Green's function method for a special class of linear self-consistent three-dimensional solutions of the magnetohydrostatic (MHS) equations for which the current density is a combination of a linear force-free part and a part with non-forc e-free components. This allows the construction of MHS solutions of this class with arbitrary photospheric boundary conditions for [FORMULA]. These solutions can be used to extrapolate coronal magnetic fields from known longitudinal photospheric field data and provide a self-consistent description of magnetic field, plasma pressure, plasma density and plasma temperature. The method therefore allows a better comparison of models with observations of solar coronal structures. We will demonstrate how the method works by giving an illustrative example.

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

Send offprint requests to: G.J.D. Petrie, (gordonp@mcs.st-and.ac.uk)

© European Southern Observatory (ESO) 2000

Online publication: April 10, 2000