Multi-Objective Optimization for Multiphase Orbital Rendezvous Missions

A multi-objective optimization approach was proposed for multiphase orbital rendezvous missions and validated by application to a representative numerical problem. By comparing the Pareto fronts obtained using the proposed method, the relationships between the three objectives considered are revealed, and the influences of other mission parameters, such as the sensors' field of view, can also be analyzed effectively. For multiphase orbital rendezvous missions, the tradeoff relationships between the total velocity increment and the trajectory robustness index as well as between the total velocity increment and the time of flight are obvious and clear. However, the tradeoff relationship between the time of flight and the trajectory robustness index is weak, especially for the four- and five-phase missions examined. The proposed approach could be used to reorganize a stable rendezvous profile for an engineering rendezvous mission, when there is a failure that prevents the completion of the nominal mission.

[1]  John L. Goodman,et al.  History of Space Shuttle Rendezvous and Proximity Operations , 2006 .

[2]  Guo-Jin Tang,et al.  Multi-Objective Optimization of Perturbed Impulsive Rendezvous Trajectories Using Physical Programming , 2008 .

[3]  Kalyanmoy Deb,et al.  Multi-objective optimization using evolutionary algorithms , 2001, Wiley-Interscience series in systems and optimization.

[4]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[5]  Kalyanmoy Deb,et al.  Muiltiobjective Optimization Using Nondominated Sorting in Genetic Algorithms , 1994, Evolutionary Computation.

[6]  E. E. Prust,et al.  A survey of rendezvous trajectory planning , 1992 .

[7]  Chang-Hee Won Fuel- or Time-Optimal Transfers Between Coplanar, Coaxial Ellipses Using Lambert's Theorem , 1999 .

[8]  Ya-zhong Luo,et al.  Optimal robust linearized impulsive rendezvous , 2007 .

[9]  Colin R. McInnes,et al.  Safety Constrained Free-Flyer Path Planning at the International Space Station , 2000 .

[10]  Guo-Jin Tang,et al.  Optimal Multi-Objective Nonlinear Impulsive Rendezvous , 2007 .

[11]  Jonathan P. How,et al.  Safe Trajectories for Autonomous Rendezvous of Spacecraft , 2006 .

[12]  Y. Lei,et al.  Optimal Multi-Objective Linearized Impulsive Rendezvous , 2007 .

[13]  Marc D. Rayman,et al.  In-Flight Operation of the Dawn Ion Propulsion System Through Orbit Capture at Vesta , 2011 .

[14]  David K. Geller,et al.  Linear Covariance Techniques for Orbital Rendezvous Analysis and Autonomous Onboard Mission Planning , 2005 .

[15]  Massimiliano Vasile,et al.  Multi-agent collaborative search: an agent-based memetic multi-objective optimization algorithm applied to space trajectory design , 2011, ArXiv.

[16]  Hua Wang,et al.  Quantitative Performance for Spacecraft Rendezvous Trajectory Safety , 2011 .

[17]  Bernd Dachwald,et al.  MULTIPLE RENDEZVOUS AND SAMPLE RETURN MISSIONS TO NEAR-EARTH OBJECTS USING SOLAR SAILCRAFT , 2003 .

[18]  Guo-Jin Tang,et al.  Orbital rendezvous mission planning using mixed integer nonlinear programming , 2011 .

[19]  D. Vallado Fundamentals of Astrodynamics and Applications , 1997 .

[20]  Wigbert Fehse,et al.  Automated Rendezvous and Docking of Spacecraft , 2003 .