On preservation of the form of the orbit of a microparticle with a variable charge moving in the earth plasmosphere

Abstract

Particles which move in magnetosphere’s plasma get the electric charge q(r) which depends on density and temperature of plasma and the sunlight stream. If motion is slow enough, it is possible to consider that the microparticle’s electric charge is quasi-equilibrium. For certain conditions the Hamilton function can be written for the problem with a variable electric charge and, hence, the methods of the analysis of systems of Hamilton equations can be applied for research of such microparticles motion. Though these conditions are strong enough, they correspond to statement of many real problems. Spatial distribution of plasma in the Earth’s plasmasphere is described by the model of twocomponent plasma. In the present paper the capability of propagation of results which were received earlier on a case of motion of quasi-equilibrium electric charge in the Earth plasmasphere has been shown. The received result shows there is an opportunity of long orbital holding for microparticles of space dust in the Earth’s plasmasphere.

Keywords:

microparticles, electric charge, Earth, plasma, orbit