Smith Thomas R, Bosanac Natasha
Colorado Center for Astrodynamics Research, Smead Department of Aerospace Engineering Sciences, University of Colorado Boulder, 3775 Discovery Dr., Boulder, CO 80303 USA.
J Astronaut Sci. 2023;70(5):34. doi: 10.1007/s40295-023-00395-7. Epub 2023 Sep 11.
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.
预计将在环月空间及整个太阳系其他多体引力环境中运行的航天器数量不断增加且种类日益繁多，这就需要持续开发快速轨道设计和设计空间探索的策略。在机器人技术领域，通过捕捉运动基本构建块并用于快速构建复杂路径的运动基元解决了类似需求。受此概念启发，本文利用运动基元构建了一个在多体引力系统中进行快速且明智的航天器轨道设计的框架。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，以形成相空间段的离散汇总。然后构建并搜索运动基元图，以生成原始序列，这些序列构成不同几何形状转移的候选初始猜测。使用多目标约束优化和配置从每个初始猜测计算连续转移。通过在具有脉冲机动的地月圆形受限三体问题中构建一系列几何形状不同的平动点轨道之间的转移，证明了该方法。
