Multi-objective Optimization for Time-Open Lambert Rendezvous Between Non-coplanar Orbits
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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.
KeywordsLambert rendezvous Non-coplanar orbits Impulse thrust Multi-objective optimization Global optimization
The authors would like to acknowledge the support provided by the National Natural Science Foundation of China (61703126), the State Key Program of National Natural Science Foundation of China (61333003), and the Major Program of Natural Science Foundation of China (61690210).
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