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  • 日地Halo轨道的多约束转移轨道分层微分修正设计

    Subjects: Geosciences >> Space Physics submitted time 2016-05-04

    Abstract: To cope with the orbit transfer problem with multiple constraints and sensitive initial values around the libration point L1 of the Sun-Earth system (SEL1 point), a transfer trajectory design method based on hierarchical differential corrections and initial value polynomial is proposed. At first, constraints are analyzed in the process of designing the transfer trajectory around the libration point. According to different terminal constraints, the hierarchical differential correction method is proposed by considering orbit altitude, orbit inclination, right ascension of ascending node and track angle simultaneously. Then, by analyzing relation between constraint variables and control variables,the initial value expression is got to solve the initial value problem of differential corrections. Finally, transfer trajectory from the earth parking orbit whose altitude is 200 km to Halo orbit around SEL1 point is designed under the condition of multi-constraints. The simulation results indicate the hierarchical differential correction method can deal with the problem with multiple constraints and initial value polynomial can provide appropriate initial conditions for differential corrections so as to guarantee convergence of the algorithm. In conclusion, this method has good practicality.

  • 不同月球借力约束下的地月Halo轨道转移轨道设计

    Subjects: Geosciences >> Space Physics submitted time 2016-04-22

    Abstract:针对地月系L2点不同任务需求下的低耗能转移轨道设计问题,基于不变流形理论与混合优化技术,深入研究了不同月球借力约束与不同幅值Halo轨道的入轨点(简称HOI点)对转移轨道飞行时间与燃料消耗的影响,给出了HOI点选择策略。首先结合任务要求并考虑月球引力影响,在月球借力点施加不同约束条件,通过微分修正算法调整Halo轨道的稳定流形,设计月球到Halo轨道的转移轨道。采用遗传算法与微分修正算法相结合的混合优化策略,在同时考虑地球停泊轨道高度、倾角、升交点赤经与航迹角等多约束条件下,对燃料最优的地月转移轨道进行研究。最后,分析月球借力高度、借力方位角和不同HOI点对平动点转移轨道飞行时间与燃耗变化量的影响,对于考虑月球借力的地月平动点转移轨道设计与应用具有重要的参考价值。