Generalized Störmer and dynamical behavior of charged particles near magnetic planet

Abstract

Abstract We study the motion of charged dust grains at arbitrary distants from a rotating magnetic planet,we show that the model treated for dipole field is an excellent approximation in most cases for a generalized Stormer problem, But that fundamentally new physics arises with the inclusion of a quadrupolar magnetic term. In particular,the appearence of a new trajectories for different kind of charged dust grains,which are meaningful when the individual and a comparable impact of the co-rotational and gravitational fields is considered.Furthermore,a detailed mathematical treatment of equilibrium state for various phase spaces for charged components in prograde or retrograde rotation direction with analytical solutions for a non linear parametric system.