Three-dimensional solutions of the magnetohydrostatic equations for rigidly rotating magnetospheres in cylindrical coordinates
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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.
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
Geophysical and Astrophysical Fluid Dynamics
© 2017, Informa UK Ltd. This work has been made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1080/03091929.2017.1404594
DescriptionFunding: Science and Technology Facilities Council under grants ST/K000950/1 and ST/N000609/1.
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