探月自由返回轨道设计的自适应初值Newton-Raphson方法  

Adaptive initial value Newton-Raphson algorithm for free return orbit design in lunar exploration

作　　者：李泽越 李海阳[1,2] 杨震 彭祺擘[3] LI Zeyue;LI Haiyang;YANG Zhen;PENG Qibo(College of Aerospace Science and Engineering,National University of Defense Technology,Changsha 410073,China;Hunan Key Laboratory of Intelligent Planning and Simulation for Aerospace Missions,Changsha 410073,China;China Astronaut Research and Training Center,Beijing 100094,China)

机构地区：[1]国防科技大学空天科学学院,长沙410073 [2]空天任务智能规划与仿真湖南省重点实验室,长沙410073 [3]中国航天员科研训练中心,北京100094

出　　处：《航空学报》2023年第15期437-451,共15页Acta Aeronautica et Astronautica Sinica

基　　金：国家自然科学基金(12072365);载人航天工程科技创新团队。

摘　　要：自由返回轨道设计是载人月球探测任务轨道方案设计不可忽视的环节之一。现有的自由返回轨道设计求解过程相对繁琐,初值依赖性较强,难以直接进行高精度设计,无法适应大规模快速搜索需求,从而限制了窗口设计、可达域分析等问题的求解效率。针对这些问题,首先,建立了以近月点伪参数为自变量的非线性方程组模型。其次,提出了一种基于初值动态适应的Newton-Raphson算法用于方程组的快速求解。再次,定义了初值优劣性指标和算法优劣性指标用于评判初值的品质以及算法的能力。与序列二次规划算法的仿真结果对比表明,所提方法计算速度得到大幅提升,同时高精度计算的仿真结果显示大规模搜索能力也有显著增强。Free return orbit design is one of the indispensable parts in the orbit scheme design of manned lunar explo⁃ration missions.Existing methods for designing free return orbit are relatively complicated,and heavily dependent on initial values,which hinders direct high-precision design and the adaption to large-scale fast search requirements,and thus limits the efficiency of solving problems such as window design and reachable domain analysis.To solve these problems,a model of nonlinear equations with perilune pseudo-parameters as independent variables was first estab⁃lished in this paper.Then,a Newton-Raphson algorithm based on adaptive initial values for fast solution of the equa⁃tions was proposed.Furthermore,two indexes were defined to evaluate the quality of the initial values and the capabil⁃ity of the algorithm.Compared with the simulation results of Sequential Quadratic Programming algorithm,the calcula⁃tion speed of the proposed method was significantly improved,and the simulation results of high-precision calculation showed a significant enhancement in large-scale search capability.

关 键 词：载人月球探测 初值动态适应 NEWTON-RAPHSON 自由返回 大规模搜索 

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]