Multi-objective Optimization for Time-Open Lambert Rendezvous Between Non-coplanar Orbits

  • Guan-qun Wu
  • Li-Guo TanEmail author
  • Xin Li
  • Shen-Min Song
Original Paper


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.


Lambert 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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Copyright information

© The Korean Society for Aeronautical & Space Sciences 2019

Authors and Affiliations

  • Guan-qun Wu
    • 1
    • 2
  • Li-Guo Tan
    • 2
    Email author
  • Xin Li
    • 2
  • Shen-Min Song
    • 2
  1. 1.Beijing Institute of Spacecraft System EngineeringBeijingChina
  2. 2.Harbin Institute of TechnologyHarbinChina

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