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Three-dimensional solutions of the magnetohydrostatic equations for rigidly rotating magnetospheres in cylindrical coordinates
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dc.contributor.author | Wilson, Fiona | |
dc.contributor.author | Neukirch, Thomas | |
dc.date.accessioned | 2018-11-30T00:47:00Z | |
dc.date.available | 2018-11-30T00:47:00Z | |
dc.date.issued | 2018 | |
dc.identifier | 251515568 | |
dc.identifier | 55eaf238-9342-4b22-b18a-7a6895614866 | |
dc.identifier | 85035805649 | |
dc.identifier | 000423392100005 | |
dc.identifier.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 | en |
dc.identifier.issn | 0309-1929 | |
dc.identifier.other | ORCID: /0000-0002-7597-4980/work/39245045 | |
dc.identifier.uri | https://hdl.handle.net/10023/16582 | |
dc.description | Funding: Science and Technology Facilities Council under grants ST/K000950/1 and ST/N000609/1. | en |
dc.description.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. | |
dc.format.extent | 22 | |
dc.format.extent | 1656959 | |
dc.language.iso | eng | |
dc.relation.ispartof | Geophysical and Astrophysical Fluid Dynamics | en |
dc.subject | Magnetohydrodynamics | en |
dc.subject | Analytical solutions | en |
dc.subject | Rotating magnetospheres | en |
dc.subject | Three-dimensional equilibria | en |
dc.subject | QA Mathematics | en |
dc.subject | QC Physics | en |
dc.subject | T-NDAS | en |
dc.subject | BDC | en |
dc.subject.lcc | QA | en |
dc.subject.lcc | QC | en |
dc.title | Three-dimensional solutions of the magnetohydrostatic equations for rigidly rotating magnetospheres in cylindrical coordinates | en |
dc.type | Journal article | en |
dc.contributor.sponsor | Science & Technology Facilities Council | en |
dc.contributor.sponsor | Science & Technology Facilities Council | en |
dc.contributor.institution | University of St Andrews. Applied Mathematics | en |
dc.contributor.institution | University of St Andrews. School of Mathematics and Statistics | en |
dc.identifier.doi | 10.1080/03091929.2017.1404594 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2018-11-30 | |
dc.identifier.grantnumber | ST/K000950/1 | en |
dc.identifier.grantnumber | ST/N000609/1 | en |
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