Three-dimensional solutions of the magnetohydrostatic equations for rigidly rotating magnetospheres in cylindrical coordinates
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.
Citation
Wilson , F & Neukirch , T 2018 , ' Three-dimensional solutions of the magnetohydrostatic equations for rigidly rotating magnetospheres in cylindrical coordinates ' , Geophysical and Astrophysical Fluid Dynamics , vol. 112 , no. 1 , pp. 74-95 . https://doi.org/10.1080/03091929.2017.1404594
Publication
Geophysical and Astrophysical Fluid Dynamics
Status
Peer reviewed
ISSN
0309-1929Type
Journal article
Description
Funding: Science and Technology Facilities Council under grants ST/K000950/1 and ST/N000609/1.Collections
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