A set of magnetic-line-coordinate systems is used to much simplify the conservation equation of space electric currents in an anisotropic electric conductivity medium. Analytic expressions of eletric potential pattern...A set of magnetic-line-coordinate systems is used to much simplify the conservation equation of space electric currents in an anisotropic electric conductivity medium. Analytic expressions of eletric potential pattern in near-earth space are then obtained under a rather general condition. Discussions of simplified expressions of the electric potential pattern in various special regions, i.e. lower altitudes, equatorial region, polar region and higher altitudes, are given. It is shown that they can all be expressed as the solutions of the Riccatitype differential equations or even simpler solutions.展开更多
文摘A set of magnetic-line-coordinate systems is used to much simplify the conservation equation of space electric currents in an anisotropic electric conductivity medium. Analytic expressions of eletric potential pattern in near-earth space are then obtained under a rather general condition. Discussions of simplified expressions of the electric potential pattern in various special regions, i.e. lower altitudes, equatorial region, polar region and higher altitudes, are given. It is shown that they can all be expressed as the solutions of the Riccatitype differential equations or even simpler solutions.
