基于伪谱法的行星际小推力轨道优化设计  

Low-Thrust Orbit Transfer Optimization Based on Pseudospectral Method

作　　者：黎桪 韩潮[1] 李娟 张兴民 LI Xun;HAN Chao;LI Juan;ZHANG Xing-min(School of Astronautics,Beihang University,Beijing 100083 ,China;Lanzhou Institute of Physics,CAST,Lanzhou Gansu 730000,China)

机构地区：[1]北京航空航天大学宇航学院,北京100083 [2]真空技术与物理国家级重点实验室,甘肃兰州730000

出　　处：《计算机仿真》2019年第7期29-33,共5页Computer Simulation

基　　金：真空技术与物理国家级重点实验室开放基金资助项目(ZWK1606)

摘　　要：介绍了伪谱法在小推力轨道优化设计,尤其是行星际小推力转移轨道的优化设计中的应用。首先,根据初末状态,使用一次伪谱法,可以求得保持推力常开的小推力转移轨道。将这一条转移轨道作为初值,进行第二次添加了推力大小控制的伪谱法,得到一条具有bang-bang开关控制的燃料最优小推力转移轨道。由于两次伪谱法的应用,使得问题的收敛性得到提高。此外,还利用轨迹成型法与模拟退火法来为伪谱法进行初始化,从而使问题的收敛性进一步提高,同时也为伪谱法提供更好的转移窗口。The purpose of this paper is to introduce the application of the pseudo-spectral method in the optimization design of law-thrust orbits, especially the optimal design of interplanetary low-thrust transfer orbits. First, according to the initial and the final state, the pseudo-spectral method was used to obtain a low-thrust transfer orbit that keeps the thrust normally open. Using this transfer orbit as the initial value, the pseudo-spectral method with thrust magnitude control added was used again to obtain a fuel-optimized low-thrust transfer orbit with bang-bang switch control. Due to the use of the pseudo-spectral method twice, the convergence of the problem was improved. In addition, we paper also used the shape-based method and the simulated annealing method to initialize the pseudospectral method, so that the convergence of the problem was further improved, and at the same time, a better transition window was provided for the pseudo-spectral method.

关 键 词：伪谱法 小推力轨道 优化 

分 类 号：V412.41[航空宇航科学与技术—航空宇航推进理论与工程]