标题： 从圆形低地球轨道到月球远距离顺行轨道的转移家族 显示英文标题

标题： Families of Transfers from circular low Earth orbit to Distant Prograde Orbit around the Moon

摘要： 围绕月球的远距离逆行轨道因其不稳定性，表现出在月球轨道监视活动和低能量转移等方面的显著应用潜力。 以往关于从圆形低地球轨道转移到远距离逆行轨道的研究主要集中在基于动力学结构的构造方法上，缺乏对这种转移场景解空间的全面分析。 本文研究了该转移场景的解空间，并识别了从167公里高的圆形低地球轨道到1:1远距离逆行轨道的转移族。 特别是通过网格搜索和轨迹延续来构建这些转移轨迹。 通过向后传播策略，在1:1远距离逆行轨道中选择转移的初始猜测，并随后修正以满足指定的约束条件。 基于获得的解，推导出一个线性预测器来预测更多可行的解，并使用预测-校正延续方法扩展解空间。 识别出十二个转移族，其中大多数是新的或之前未被充分探索的。 分析和讨论了这十二个族的构造参数分布和转移特性，表明哪些族适用于哪种特定的实际任务。 进一步比较了所获得的解与以往研究开发的解，以说明动力学模型选择对转移构造的影响。 显示英文摘要

摘要： Distant prograde orbits around the Moon exhibit remarkable potential for practical applications such as cislunar surveillance activities and low-energy transfers due to their instability. Previous works on transfers from circular low Earth orbit to distant prograde orbits mainly focused on construction methods based on dynamical structures, lacking a comprehensive analysis of the solution space of this transfer scenario. This paper investigates the solution space and identifies families of transfers from a 167 km circular low Earth orbit to a 1:1 distant prograde orbit. In particular, grid search and trajectory continuation are performed to construct these transfer trajectories. Initial guesses of the transfers are selected in the 1:1 distant prograde orbit through a backward propagation strategy and are then corrected to satisfy specified constraints. Based on the obtained solutions, a linear predictor is derived to predict more feasible solutions and a predictor-corrector continuation method is used to extend the solution space. Twelve transfer families are identified, most of which are new or previously underexplored. The distributions of construction parameters and transfer characteristics of these twelve families are analyzed and discussed, showing which families are applicable to which types of specific practical missions. Comparison between the obtained solution and solution developed by previous works is further performed to imply the effects of the selection of dynamical model on transfer construction.