The main goal is to develop methods for constructing the support movements of spacecraft and study the features of their implementation using algorithms based on the direct Lyapunov method. Finite relations are obtained that relate the orientation accuracy when using the standard Lyapunov control with the magnitude of external disturbances that are not taken into account in the control loop. An algorithm has been developed for reorienting the apparatus in the presence of restrictions on its possible orientation. An algorithm has been developed for synthesizing the reference angular motion of the satellite, which allows tracking arbitrary rather smooth trajectories on the Earth's surface.

direct Lyapunov method, methods of theoretical mechanics, numerical methods for solving systems of ordinary differential equations, asymptotic methods, spacecraft

Theoretical and applied problems of mechanics