The increasing number and variety of spacecraft that are expected to operate within cislunar space and other multi-body gravitational environments throughout the solar system necessitates the continued development of strategies for rapid trajectory design and design space exploration. In the field of robotics, similar needs have been addressed using motion primitives that capture the fundamental building blocks of motion and are used to rapidly construct complex paths. Inspired by this concept, this paper leverages motion primitives to construct a framework for rapid and informed spacecraft trajectory design in a multi-body gravitational system. First, motion primitives of fundamental solutions, e.g., selected periodic orbits and their stable and unstable manifolds, are generated via clustering to form a discrete summary of segments of the phase space. Graphs of motion primitives are then constructed and searched to produce primitive sequences that form candidate initial guesses for transfers of distinct geometries. Continuous transfers are computed from each initial guess using multi-objective constrained optimization and collocation. This approach is demonstrated by constructing an array of geometrically distinct transfers between libration point orbits in the Earth-Moon circular restricted three-body problem with impulsive maneuvers.

预计将在地月空间和整个太阳系其他多体引力环境中运行的航天器数量和种类不断增加，因此需要继续制定快速轨道设计和设计空间探索的策略。在机器人领域，使用运动原语已经解决了类似的需求，这些原语捕获运动的基本构建块并用于快速构建复杂的路径。受这一概念的启发，本文利用运动原语构建了一个框架，用于在多体引力系统中进行快速且明智的航天器轨迹设计。首先，通过聚类生成基本解的运动基元，例如选定的周期轨道及其稳定和不稳定流形，以形成相空间片段的离散概括。然后构建并搜索运动基元图以产生基元序列，这些序列形成不同几何形状传输的候选初始猜测。使用多目标约束优化和配置根据每个初始猜测计算连续传输。通过在具有脉冲机动的地球-月球圆形受限三体问题中的平动点轨道之间构建一系列几何上不同的转移来证明这种方法。