月面应急直接上升交会轨迹快速规划方法  

Rapid planning method for lunar direct ascent and rendezvous trajectory in emergency cases

作　　者：班焕恒 周聪 闫晓东[1,2] BAN Huanheng;ZHOU Cong;YAN Xiaodong(School of Astronautics,Northwestern Polytechnical University,Xi’an 710072,China;Shaanxi Aerospace Flight Vehicle Design Key Laboratory,Xi’an 710068,China)

机构地区：[1]西北工业大学航天学院,西安710072 [2]陕西省空天飞行器设计重点实验室,西安710068

出　　处：《北京航空航天大学学报》2025年第4期1352-1366,共15页Journal of Beijing University of Aeronautics and Astronautics

摘　　要：当月面探测器出现某些突发状况而需要返回环月轨道器或地球时,上升器需具备自主规划出合适的应急上升交会轨迹的能力。以上升交会时间最短为目标函数,基于序列二阶锥规划方法,建立直接上升交会轨迹优化模型,并构建求解直接上升交会轨迹优化问题的凸优化算法。为提高计算效率,对内点法进行定制化改进,主要改进有:线性方程组求解过程定制化改进;内点法热启动;二阶锥规划子问题求解精度动态调整。仿真结果表明:所提月面应急上升交会轨迹优化方法可实现上升器的快速上升交会。与采用通用内点法求解器的传统序列二阶锥规划方法相比,在求解精度不变的情况下,所提的序列二阶锥规划问题求解加速方法可达到9.5倍左右的加速比。综合运用所提方法,有望实现月面上升器的自主在线轨迹规划。When a lunar detector encounters unexpected conditions and needs a return to the lunar orbiter or Earth,the lunar ascender should be able to plan an appropriate ascent and rendezvous trajectory independently in emergency cases.In this paper,a direct ascent and rendezvous trajectory optimization model was established based on a successive second-order cone programming method,and minimum ascent and rendezvous time was chosen as the objective function.Additionally,a convex optimization algorithm was proposed to solve the ascent and rendezvous trajectory optimization problem.In order to enhance computational efficiency,the interior point method was customized and modified.The main adaptations included:the process of solving linear equations was customized and modified;a warm starting was used in the interior point method;the second-order cone programming subproblem solving accuracy was adjusted dynamically.Simulation results demonstrate that the proposed lunar ascent and rendezvous trajectory optimization method in emergency cases facilitates the rapid ascent and rendezvous process of the lunar ascender.Moreover,when compared to the traditional successive second-order cone programming method employing a general interior point method solver,the proposed acceleration technique achieves a speedup ratio of approximately 9.5 times while maintaining the same level of solving accuracy.Consequently,the method outlined in this paper holds significant potential for enabling autonomous online trajectory planning of lunar ascenders.

关 键 词：月面应急上升交会 序列二阶锥规划方法 内点法定制化 内点法热启动 在线轨迹规划 

分 类 号：V448.2[航空宇航科学与技术—飞行器设计]