Optimal multi-objective nonlinear impulsive rendezvous

The multi-objective optimization of unperturbed two-body impulsive rendezvous is investigated in this paper. In addition to the total characteristic velocity and the time of rendezvous flight, the minimum relative distance between the chaser and the target in the chaser's free-flying path is proposed as another design performance index. The feasible iteration optimization model of three-objective impulsive rendezvous with path constraints including trajectory safety and field of view constraints is established using a Lambert algorithm. The multi-objective nondominated sorting genetic algorithm is employed to obtain the Pareto solution set. The -V-bar and +V-bar homing rendezvous missions are examined by the proposed approach. It is shown that tradeoffs between time of flight, propellant cost and passive trajectory safety, and several inherent principles of the rendezvous trajectory are demonstrated by this approach.