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.