Quantitative magnetospheric magnetic field modelling with toroidal and poloidal vector fields

Computer Science

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Earth Magnetosphere, Geomagnetism, Magnetic Field Configurations, Poloidal Flux, Ring Currents, Toroids, Current Density, Lines Of Force, Planetary Magnetic Fields, Spherical Harmonics, Topology

Scientific paper

Toroidal and poloidal vector fields allow divergence free magnetic field representations in regions where currents flow. General magnetospheric magnetic fields are derived using combinations of spherical harmonic expansions of the toroidal and poloidal fields. Adding restrictive conditions like the field line topology symmetry or the magnetic field measurements, more specific magnetospheric magnetic field models can be derived. Two examples of this technique are given: an axisymmetric model with a ring current in the equatorial region and a time-dependent model of the earth's magnetosphere. Present results are compared with the Olson-Pfitzer (1974, 1979) model.

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