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Describing the effects of distant encounters is paramount for a complete understanding of phenomena leading to collisions with celestial bodies. This work introduces a novel model of sphere of influence and couples it with the three-body dynamics, predicting potentially impacting trajectories beyond the capabilities of the simpler two-body models.

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This page is a summary of: Jacobian Spheroids, Shallow Encounters, and the Keyhole Map, Journal of Guidance Control and Dynamics, January 2025, American Institute of Aeronautics and Astronautics (AIAA),
DOI: 10.2514/1.g008013.
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