The problem concerning the guiding center movement in the superposition of dipole magnetic field and uniform magnetic field

Abstract

The problem of dynamics for the charged particle in the superposition of magnetic dipole field and uniform magnetic field, the latter being parallel to the magnetic moment of dipole, has been considered. This model is known to be used for the description of the Earth magnetic field within enough large distances from the Earth’s center. The analytic solution for the problem of the drift for the charged particle guiding center along a dipole field power surface has been obtained before. It has been proved that the analytic solution of the drift problem can be found for a superpositional field too. Besides, the configurations of the week local inhomogeneity regions, where the drift equations describe the guiding center movement correctly, have been represented. Besides, the configurations of the week local inhomogeneity regions have been given, with the drift equations describing the guiding center movement correctly. The magnitudes of electron energies, for which the power surface of the superpositional field with the given equatorial parameter is included in the local inhomogeneity region of the magnetic field, have been determined. Refs 6. Figs 3.

Keywords:

charged particles, magnetic field of the Earth, guiding center, drift equations, force lines