Three-dimensional solutions of the magnetohydrostatic equations for rigidly rotating magnetospheres in cylindrical coordinates. Issue 1 (2nd January 2018)

• Record Type: Journal Article
• Authors: Wilson, F.; Neukirch, T.
• Is Part Of: Geophysical and astrophysical fluid dynamics. Volume 112:Issue 1(2018)
• Page Start: 74
• Page End: 95
• Publication Date: 2018-01-02
• Subjects: Magnetohydrodynamics -- analytical solutions -- rotating magnetospheres -- three-dimensional equilibria; Fluid dynamics -- Periodicals; Astrophysics -- Periodicals; Geophysics -- Periodicals; 551
• DOI: 10.1080/03091929.2017.1404594
• Languages: English
• ISSNs: 0309-1929

Abstract

Abstract : We present new analytical three-dimensional solutions of the magnetohydrostatic equations, which are applicable to the co-rotating frame of reference outside a rigidly rotating cylindrical body, and have potential applications to planetary magnetospheres and stellar coronae. We consider the case with centrifugal force only, and use a transformation method in which the governing equation for the "pseudo-potential" (from which the magnetic field can be calculated) becomes the Laplace partial differential equation. The new solutions extend the set of previously found solutions to those of a "fractional multipole" nature, and offer wider possibilities for modelling than before. We consider some special cases, and present example solutions.