Tkachenko Y. Optimal motions of variable mass particle with bounded power demand and energy storage.

The dissertation is devoted to optimization of trajectories, controls and propulsion system parameters of a spacecraft, which executes flights in near planet space. The spacecraft motion is modeling by motion of variable mass particle. The purpose of the optimization is obtaining maximum of payload at fixed initial spacecraft mass. The spacecraft has been equipped with low thrust propulsion system included energy storage to increase effectiveness of autonomous onboard energy source. The problems of optimal transfer between nearby noncoplanar orbits, as circular, as some cases of elliptical are investigated using Gamkrelidze method. The optimal problem of using energy storage in spacecraft low thrust propulsion system at executing transfers between far orbits is investigated. The technique, allows to obtain quasi-optimal solution this problem reducing it to nonlinear programming problem, is proposed. Estimate of advantage of using energy storage for some interorbital transfers is obtained. Also quasi-optimal solution of problem about increasing effectiveness of energy source functioning at space satellite keeping on circular orbit in nonspherical gravitational Earth field is obtained.