Physics – Space Physics
Scientific paper
May 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976rvgsp..14..199s&link_type=abstract
Reviews of Geophysics and Space Physics, vol. 14, May 1976, p. 199-214.
Physics
Space Physics
25
Atmospheric Models, Earth Magnetosphere, Geomagnetism, Magnetic Field Configurations, Mathematical Models, Electrodynamics, Force-Free Magnetic Fields, Scalars, Spherical Harmonics, Vector Analysis
Scientific paper
Several mathematical methods which are available for the description of magnetic fields in space are reviewed. Examples of the application of such methods are given, with particular emphasis on work related to the geomagnetic field, and their individual properties and associated problems are described. The methods are grouped in five main classes: (1) methods based on the current density, (2) methods using the scalar magnetic potential, (3) toroidal and poloidal components of the field and spherical vector harmonics, (4) Euler potentials, and (5) local expansions of the field near a given reference point. Special attention is devoted to models of the magnetosphere, to the uniqueness of the scalar potential as derived from observed data, and to the L parameter.
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