Mathematics – Metric Geometry
Scientific paper
Nov 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986apj...310..953l&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 310, Nov. 15, 1986, p. 953-965.
Mathematics
Metric Geometry
25
Astronomical Models, Magnetic Field Configurations, Planetary Magnetic Fields, Stellar Magnetic Fields, Stellar Magnetospheres, Jupiter Atmosphere, Magnetic Stars
Scientific paper
This paper presents a large class of analytic solutions describing partially open magnetic fields in static equilibrium outside a central object, which may be taken to be a planet or a star. The problem for a potential magnetic field is first treated in axisymmetric geometry, with an equatorial, stress-free electric current sheet whose presence results in part of the magnetic flux opening to infinity. The solutions can be linearly superposed to construct idealized models of the solar coronal magnetic field in a partially open configuration. These solutions are further developed to allow for stresses in the current sheet and three-dimensionality, in that order of complexity. The stresses can be balanced in equilibrium by introducing gravitational and centrifugal forces acting on dense matter confined in the electric current sheet. Explicit solutions are presented to illustrate magnetic topologies of magnetospheres having rotating and nonrotating magnetodisks. A simple physical illustration is given to estimate the total mass in the Jovian magnetodisk from the observed macroscopic parameters of the disk electric current.
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