Abstract
The problem of time-open Lambert multi-objective optimal rendezvous between non-coplanar orbits is studied in the paper. Based on the Lambert’s theorem, the descriptions of time-open Lambert rendezvous subjected to two-impulse and three-impulse are presented, and a universally applicable method for the solution of the transfer orbits is given. To deal with the multi-objective optimization subject to fuel consumption and flight time for rendezvous, an improved NSGA-II algorithm with a better performance is provided. Via the global optimization, Pareto set can be obtained by the improved NSGA-II for the multi-objective optimal rendezvous considering multi-constraints. Numerical simulations are conducted to validate the feasibility of the improved multi-objective optimization algorithm, and the results of the two-impulse and three-impulse multi-objective optimal rendezvous are shown.
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