Hybrid planning for LEO long-duration multi-spacecraft rendezvous mission

Hybrid planning for LEO long-duration multi-spacecraft rendezvous mission
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LEO长时间多航天器交会任务的混合规划

DOI:
10.1007/s11431-011-4662-z
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发表时间:
2012
影响因子:
4.6
通讯作者:
Tang GuoJin
Tang GuoJin
中科院分区:
工程技术2区
文献类型:
--
作者:
Zhang Jin;Luo YaZhong;Tang GuoJin

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针对低轨长时间多航天器交会使命,建立了考虑J2摄动和基于光照条件的时间窗约束的混合整数非线性规划模型。提出了一种两级混合优化方法。上层问题以访问顺序、变轨持续时间和每次交会后的服务时间为设计变量,采用混合编码遗传算法搜索最优解;下层问题以每次交会的机动时间和冲量为设计变量,采用下坡单纯形法搜索最优解。为了提高低层问题的求解效率,建立了含J2摄动的线性动力学模型,并提出了低层问题的近似求解策略.所提出的方法已被应用到几个数值问题。结果表明:(1)LEO长时间多航天器交会使命的MINLP模型是有效的,所提出的混合优化策略能够得到满足时间窗约束的良好解:(2)在J2摄动下,推导出的线性动力学方程对长时间交会轨道具有良好的一阶逼近性;(3)在J2扰动下,长持续时间交会问题无论是在多个轨道期间还是在单个轨道期间都存在多个局部极小值,使用混合编码遗传算法符合该问题的特点。
For the low-earth-orbit (LEO) long-duration multi-spacecraft rendezvous mission, a mixed integer nonlinear programming (MINLP) model is built with consideration of theJ2perturbation 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 variables, 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 withJ2perturbation is derived, and the approximate strategy of the low-level problem 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 underJ2perturbation; (3) UnderJ2perturbation, 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.
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