Formation of a rotating ring-shaped three-body tethered nanosatellite system with limited control

The problem of forming a rotating ring-shaped tethered system consisting three nanosatellites is considered. To analyze the dynamics tether system, mathematical model developed in orbital coordinate using Lagrange method. Using sliding mode control method, two programs for deployment tethers are proposed, which tensions and thrust forces created by low-thrust engines used as controls. In first program, actions directly limited permissible limits forces, when designing second an auxiliary dynamic added into introduces corrections that take account saturation effect. stability motion formation both investigated Lyapunov theory. results numerical simulations confirmed possibility proposed triangular form regular triangle presence disturbances with given constraints.