Analytical two-dimensional model of a quadrupole magnetosphere

Details Analytical two-dimensional model of a quadrupole magnetosphere Analytical two-dimensional model of a quadrupole magnetosphere

Jan 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985p%26ss...33...45b&link_type=abstract

Planetary and Space Science (ISSN 0032-0633), vol. 33, Jan. 1985, p. 45-52.

Mathematics

4

Earth Magnetosphere, Mathematical Models, Quadrupoles, Two Dimensional Models, Boundary Value Problems, Cauchy-Riemann Equations, Conformal Mapping, Magnetic Induction, Magnetopause, Paleomagnetism, Solar Wind

Scientific paper

A model of a quadrupole magnetosphere is developed with the aid of conformal mappings. Such a type of magnetosphere might have occurred at the earth during times of polarity reversals of the dipole field, when the residual field essentially may have had a quadrupole structure. The magnetospheric field-line configuration is calculated for an axial quadrupole directed perpendicular to the solar-wind flow. The model is two-dimensional and leads to analytical formulae.

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