The Synthesis Algorithm of Motion Control of The Center of Mass of The Service Module During Spacecraft Servicing on The Geostationary Orbit

The problem of controlling the motion of the center of mass of a service module – a spacecraft serving the geostationary satellite of the Earth, is considered. To solve the problem of synthesis of suboptimal motion control of the center of mass of the service module in the service process, it is necessary to apply the method of successive approximations. But this method has poor convergence. It should be expected that it is directly related to the success of the initial approximation. To ensure the convergence of the synthesis algorithm, an algorithm for generating an initial approximation is developed. The efficiency and convergence of the synthesis algorithm for suboptimal motion control is confirmed by the results of numerical simulation.