A key challenge in low-thrust trajectory design is generating preliminary solutions that simultaneously specify the spacecraft position and velocity vectors, as well as the thrust history. To mitigate this difficulty, dynamical structures within a combined low-thrust circular restricted 3-body problem (CR3BP) are investigated as candidate solutions to seed initial low-thrust trajectory designs. The addition of a low-thrust force to the CR3BP modifies the locations and stability of the equilibria, offering novel geometries for mission applications. Transfers between these novel equilibria are constructed by leveraging the associated stable and unstable manifolds and insights from the low-thrust CR3BP.

中文翻译：

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利用低推力，多主体平衡及其流形的弹道设计

低推力轨迹设计的一个关键挑战是生成初步解决方案，这些解决方案可以同时指定航天器的位置和速度矢量以及推力历史。为了减轻这一困难，研究了组合的低推力圆形受限3体问题（CR3BP）中的动力学结构，作为种子初始低推力轨迹设计的候选解决方案。向CR3BP添加低推力会改变平衡的位置和稳定性，从而为任务应用提供新颖的几何形状。这些新颖的平衡之间的转移是通过利用相关的稳定和不稳定歧管以及来自低推力CR3BP的洞察力来构建的。