Backtracking search algorithm for non-aligned thrust optimization for satellite formation

This paper considers the effect of an optimized non-aligned thrust on formation keeping of multiple satellites. In particular, comparison is made between the performances of the regular thrust configuration and the non-aligned case. The relative dynamics of motion for the formation is based on the Gauss variational equations. The optimization of the non-aligned thrust inclination angles was done via chaotic backtracking search algorithm. Finally a state feedback control law for formation keeping was used with constraints for actuator saturation also implemented. Simulation results indicate the effectiveness of non-aligned thrust in maintaining J₂ invariant relative orbit at steady state.