RESUMO

A control (optimal in the sense of the time-optimal fuel expenditure) problem of the angular altitude (stabilization) of a spacecraft is considered in the continuous- as well as in discrete-time statement. The synthesis of an optimal control algorithm for chosen performance indices is carried out on the base of the minimum principle and reachable sets that are constructed in the plane of the turn angles and on whose boundaries switchings of the optimal control are realized. An analysis of the results obtained is performed, which allows one to find a one-to-one correspondence between the duration of the optimal steering and a given turn angle of the spacecraft.