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作 者:ZHANG Jin LUO YaZhong TANG GuoJin
出 处:《Science China(Technological Sciences)》2012年第1期233-243,共11页中国科学(技术科学英文版)
基 金:supported by the National Natural Science Foundation of China (Grant No. 10902121);the Foundation of State Key Laboratory of Astronautic Dynamics (Grant No. 2011ADL-DW0203);the Science Project of National University and Defense Technology (Grant No. JC09-01-01)
摘 要:For the low-earth-orbit (LEO) long-duration multi-spacecraft rendezvous mission, a mixed integer nonlinear programming (MINLP) model is built with consideration of the , perturbation and the time window constraints based on lighting condition. A two-level hybrid optimization approach is proposed. The up-level problem uses the visiting sequence, the orbital transfer duration and the service time after each rendezvous as design variables, and employs the mix-coded genetic algorithm to search the optimal solution; the low-level problem uses the maneuver time and impulses in each rendezvous as design vari- ables, and employs the downhill simplex method to search the optimal solution. To improve the solving efficiency of the low-level problem, a linear dynamic model with J~ perturbation is derived, and the approximate strategy of the low-level prob- lem is then proposed. The proposed method has been applied to several numerical problems. The results lead to three major conclusions: (1) The MINLP model for LEO long-duration multi-spacecraft rendezvous mission is effective, and the proposed hybrid optimization strategy can obtain good solutions that satisfy time window constraints; (2) The derived linear dynamic equations are good first-order approximation to the long-duration rendezvous trajectory under ,J2 perturbation; (3) Under J2 perturbation, the long-duration rendezvous problem has multiple local minimums either in the duration of multiple orbits or in a single orbit, and it agrees with the problem's characteristic to use the mix-coded genetic algorithm.
关 键 词:multi-spacecraft rendezvous long-duration rendezvous hybrid planning rendezvous time window lighting constraints J2 perturbation
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