Abstract:

Aiming at the navigation constellation with satellite failure, a method of phase maneuvering on satellites in orbit is proposed to reconstruct the space configuration of the constellation in order to achieve the purpose of improving and recovering the constellation performance. Firstly, the phase of on-orbit satellites was adjusted by the method of phase maneuver of coplanar high orbit and coplanar low orbit, and the mathematical model of phase maneuver of coplanar orbit was set up; secondly, other reconstruction indexes besides reconstruction time and reconstruction energy were proposed, including the balance of reconstruction energy and the robustness of reconstruction configuration, and the mathematical model of each reconstruction index was established; then, an optimization model of the reconstruction configuration was established, and the evaluation method and coding method of the individual in the optimization problem were designed; finally, taking the failure of MEO satellite in Beidou as an example, the differential evolution algorithm is used to solve the optimization model, and the Pareto fronts with different reconstruction indexes as objective functions are obtained. It can be seen from the results that this reconstruction method can improve the constellation performance up to 41.2%, and in all reconstruction strategies corresponding to the Pareto front, the orders of magnitude of reconstruction energy, the balance of reconstruction energy and the robustness of reconstruction configuration were maintained at -1, -3 and the level of 0.

Key words: configuration reconstruction, phase maneuver, reconfiguration index, differential evolution algorithm, Pareto front, satellite constellation