Bodies which move in magnetosphere's plasma get electric charge which depends on density and temperature of surrounding plasma, a stream of sunlight and. therefore, on the position and
the orientation of a body on a trajectory. Primarily a interest to the studying of the motion of the charged bodies has been bound with consideration of the concept of new engine systems, and then also with the research of features of manmade microparticles motion in a circumterraneous space and of influence of the moments of electrodynamic forces on orientation of space vehicles. In the paper, a review of results of analytical researches of the authors that deal with dynamics of bodies with variable electric charge in space plasma is given.