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双月旁转向轨道的修正方法研究

Correction methods analysis of double lunar-swingby trajectory

  • 摘要: 双月旁转向轨道是深空探测中有应用潜力的一类非线性轨道. 在CR3BP模型下得到了双月旁转向轨道, 通过分析轨道的误差传播特性, 制定了双月旁转向轨道的修正原则, 提出了``关键节点''加``显式制导''的修正思路; 给出了考虑太阳引力作用的R4BP模型, 针对初始误差、导航误差、修正执行误差和太阳引力摄动偏差进行了轨道修正仿真, 得到了基于Monte-Carlo方法的轨道修正统计结果. 在此基础上, 采用了``初值速度补偿''与``显式制导''相结合的思路修正初始误差、导航误差、修正执行误差和太阳引力作用, 仿真表明: 这一方法能够较大程度地降低轨道修正所需的冲量. 结果和结论能够为双月旁转向轨道的工程应用提供参考.

     

    Abstract: Double Lunar-Swingby (DLS) trajectory is a type ofnon-linear orbit which has potential applications in the deep-spaceexploration. A nominal trajectory is given under CR3BP model, and itsdynamic characteristic is analyzed. According to the error dispersion of thenominal trajectory, several correction principles are established.Considering the solar gravitational perturbation, the R4BP model isestablished. A method of explicit guidance at the ``key node'' is developed,and the correction maneuver results of the initial error, navigation error,maneuver error and the solar gravitational perturbation are obtained. Thestatistical dispersion analysis is carried out with Monte-Carlo simulation.Based on these works, a new method of initial velocity supplement combinedwith explicit guidance is proposed to correct the initial error, navigationerror, maneuver error and the solar gravitational influence, and theparameters including the magnitude of supplement velocity and time of TCMare optimized. The simulation results show that this method can reduce thecorrection maneuver obviously. The results and conclusions of this paper canprovide a reference for the engineering applications of DLS trajectory.

     

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