Control of the deployment of a tethered orbital system with a small load into a vertical position

The construction and analysis of the laws for the deployment of a tethered orbital system consisting of two terminal bodies and a tether into a vertical position are considered. The case when the mass of one of the terminal bodies is much greater than the overall mass of the second body and the tether, when the latter are comparable in mass, is considered. In constructing a nominal law for controlling the deployment into a vertical position, a model system consisting of two terminal particles and a tether is used that is written in a moving orbital system of coordinates for a non-extendable tether. The realizability of the proposed control laws is estimated using a model of the controlled motion of a tethered orbital system with distributed parameters, taking account of the extensibility of the tether.