广义多圈Lambert算法求解多脉冲最优交会问题

童科伟; 周建平; 何麟书; 张丽艳

广义多圈Lambert算法求解多脉冲最优交会问题

1.
北京航空航天大学宇航学院, 北京 100191
2. 中国载人航天工程办公室, 北京 100720

详细信息

作者简介:
童科伟(1982-),男,湖南常德人,博士生,tongkewei@126.com.

中图分类号: V 412.4⁺1
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- 文章访问数: 2961
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- 被引次数: 0
出版历程
- 收稿日期: 2008-11-07
- 网络出版日期: 2009-11-30

Generalized multiple-revolution Lambert algorithm for solving multiple-impulse rendezvous problem

1.
School of Astronautics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
2. China Manned Space Engineering Office, Beijing 100720, China

摘要

摘要: 基于一种高效高精度的Battin多圈Lambert算法提出一种考虑轨道摄动的广义多圈Lambert算法.与现有算法相比,本算法虽然原理复杂但计算流程非常简单,效率极高,分别通过几次内外循环就可满足精度要求.广义多圈Lambert算法结合一种可行解迭代交会模型构成了一个通用的多圈多脉冲交会规划框架,应用两步法求解此多变量的复杂工程优化问题,首先利用高效率的进化全局优化算法以及解析轨道模型作全局搜索,然后利用序列二次规划算法以及简化高精度轨道计算模型作局部搜索,此方法可以保证高效高精度的求解多圈多脉冲交会问题.算例表明此方法特别适用于满足实际工程约束的交会规划问题.
- 交会 /
- 轨道动力学 /
- 轨道转移 /
- 非线性规划
Abstract: Techniques based on a high efficient high precision Battin multiple-revolution Lambert algorithm were extended to a generalized multiple-revolution Lambert algorithm which can consider orbital perturbations. The approach is difficult to understand but is high efficient with a simple calculation flow which needs only several inner and outer iterations. A unified multiple-revolution multiple-impulse rendezvous planning framework was proposed by combining the generalized multiple-revolution Lambert algorithm and a feasible iteration rendezvous approach. A two-step optimization method was used to solve this difficult multi-variable engineering optimization problem which first utilizing a high efficient evolutionary algorithm with an analytical orbit model for global search, then a sequential quadratic programming algorithm was used with a simplified high precision orbit model for local optimization. The proposed method can guarantee to solve multiple-revolution multiple-impulse rendezvous problem with high efficiency and precision. The demonstration validates that it is very suitable for rendezvous planning problem with practical engineering constraints.
- rendezvous /
- orbit dynamics /
- orbit transfer /
- nonlinear programming

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参考文献(1)

[1] Battin R H. An introduction to the mathematics and methods of astrodynamics[M].New York: AIAA, 1987:237-342 [2] 韩潮,谢华伟. 空间交会中多圈Lambert变轨算法研究[J]. 中国空间科学技术, 2004, 24(5): 9-14 Han Chao, Xie Huawei. Research on algorithm of loopy Lambert transfer in space rendezvous[J].Chinese Space Science and Technology, 2004, 24(5): 9-14 (in Chinese) [3] 卢山,陈统,徐世杰. 基于自适应模拟退火遗传算法的最优Lambert转移[J].北京航空航天大学学报, 2007, 33(10): 1191-1195 Lu Shan, Chen Tong, Xu Shijie. Optimal Lambert transfer based on adaptive simulated annealing genetic algorithm[J].Journal of Beijing University of Aeronautics and Astronautics, 2007, 33(10):1191-1195(in Chinese) [4] Loechler L A. An elegant Lambert algorithm for multiple revolution orbits .Massachusetts: Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, 1988 [5] Shen H J, Tsiotras P. Optimal two-impulse rendezvous using multiple-revolution Lambert solutions[J].Journal of Guidance, Control, and Dynamics, 2003, 26(1):50-61 [6] Prussing J E. A class of optimal two-impulse rendezvous using multiple-revolution Lambert solutions[J].The Journal of the Astronautical Sciences, 2000, 48(2):131-148 [7] Shen H J. Optimal scheduling for satellite refuelling in circular orbits .Georgia: School of Aerospace Engineering, Georgia Institute of Technology, 2003 [8] Hughes S P, Mailhe L M, Guzman J J. A comparison of trajectory optimization methods for the impulsive minimum fuel rendezvous problem[J].Advances in the Astronautical Sciences, 2003, 113:85-104 [9] Luo Yazhong, Tang Guojing, Lei Yongjun, et al. Optimization of multiple-impulse multiple-revolution rendezvous phasing maneuvers[J].Journal of Guidance, Control, and Dynamics, 2007, 30(4):946-952 [10] Xie Xiaofeng, Zhang Wenjun. Solving engineering design problems by social cognitive optimization Kalyanmov D, Riccardo P.Genetic and Evolutionary Computation Conference. Berlin:Springer, 2004:261-262 [11] 童科伟,周建平,何麟书.近地卫星简化轨道预报方法研究[J].宇航学报,2009,30(4):1327-1333 Tong Kewei, Zhou Jianping, He Linshu. A reduced orbit propagation model of low-earth orbit satellite[J].Journal of Astronautics, 2009, 30(4):1327-1333(in Chinese)

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