The algorithms of optimal and approximately optimal control for deployment of space tether system

The optimal and approximately optimal algorithms of regulation providing program expansion space tether system are considered. The system consists of a spacecraft and a payload connected by a tether. Synthesis of an optimal regulator by means of a classical method of dynamic programming Bellman is made. As a result of the analysis of classical algorithm of regulation possibility of its essential simplification practically without loss of quality of control is shown. Statistical modeling for the concrete program of expansion tether systems, confirming possibility of use of optimum algorithms of regulation offered approximately is spent.