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载人登月转移轨道具有飞行时间长,动力学模型复杂,非线性强且变系数的特点,而载人登月工程对转移轨道可靠性要求极高,研究地月转移轨道偏差传播机理和轨道稳健性设计不仅具有工程意义,更具有探索地月空间复杂引力场对轨道偏差作用的科学意义.本文首先分析了日地月中心引力和地球J2项摄动等主要作用力对转移轨道偏差的作用范围与影响大小,其次提出了一种基于标称轨道数据的变系数非线性动力学系统偏差传播机理解析分析方法,最后构建了基于偏差传播矩阵的转移轨道稳健性评价指标,并基于NSGA-II(Nondominated Sorting Genetic Algorithms)算法求解了载人登月转移轨道稳健性优化设计问题.仿真结果表明,本文提出的偏差传播机理分析方法能快速准确地求解出载人登月转移轨道偏差传播矩阵,利用偏差传播矩阵进行协方差分析和中途修正脉冲计算是简单准确的,考虑稳健性的转移轨道优化设计可以提高标称轨道品质.
Manned lunar transfer orbit has the characteristics of long flight time, complex dynamic model and strong nonlinearity and variable coefficient. However, manned lunar landing project has extremely high reliability of transfer orbit, The robust design is not only of engineering significance, but also has the scientific significance of exploring the complex gravitational field on the moon orbit in the orbit deviation function.This paper first analyzes the role of the main force on the orbital deviation from the center-gravity and the perturbation of J2 Then, a new analytic method to analyze the mechanism of dispersion propagation in a variable coefficient nonlinear dynamical system based on nominal orbit data is proposed. Finally, the evaluation index of the stability of the transfer orbit based on the bias propagation matrix is established. Based on NSGA-II (Nondominated Sorting Genetic Algorithms) algorithm to solve the robust optimization design of manned lunar orbit. The simulation results show that the method proposed in this paper can quickly and accurately solve the manned lunar transfer orbit deviation propagation matrix, Deviation propagation matrix analysis of covariance and halfway correction pulse calculation is simple , Given the robustness of the transfer orbit design optimization can increase the nominal track quality.