Abstract
Rapid trajectory design in multi-body systems often leverages individual arcs along natural dynamical structures that exist in an approximate dynamical model. To reduce the complexity of this analysis in a chaotic gravitational environment, a motion primitive set is constructed to represent the finite geometric, stability, and/or energetic characteristics exhibited by a set of trajectories and, therefore, support the construction of initial guesses for complex trajectories. In the absence of generalizable analytical criteria for extracting these representative solutions, a data-driven procedure is presented. Specifically, k-means and agglomerative clustering are used in conjunction with weighted evidence accumulation clustering, a form of consensus clustering, to construct sets of motion primitives in an unsupervised manner. This data-driven procedure is used to construct motion primitive sets that summarize a variety of periodic orbit families and natural trajectories along hyperbolic invariant manifolds in the Earth–Moon circular restricted three-body problem.
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Acknowledgements
Earlier versions of this work were presented as conference papers, AAS 19-686 and AAS 20-488, at the 2019 AAS/AIAA Astrodynamics Specialist Conference, Portland, ME., August 11–15, 2019, and the 2020 AAS/AIAA Astrodynamics Specialist Conference, Virtual, August 8–12, 2020, respectively. This work was funded by the NASA Space Technology Research Fellowship from the National Aeronautics and Space Administration. The authors also wish to thank each of the anonymous reviewers for their feedback.
Funding
This work was completed at the University of Colorado Boulder under a NASA Space Technology Research Fellowship from the National Aeronautics and Space Administration.
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Smith, T.R., Bosanac, N. Constructing motion primitive sets to summarize periodic orbit families and hyperbolic invariant manifolds in a multi-body system. Celest Mech Dyn Astr 134, 7 (2022). https://doi.org/10.1007/s10569-022-10063-x
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DOI: https://doi.org/10.1007/s10569-022-10063-x