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arXiv · 2308.06667

Isolating Neighborhood Trajectory Computations in Non-Autonomous Systems Including the Elliptic Restricted Three-Body Problem

Rodney L. Anderson·Robert W. Easton·Martin W. Lo
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Abstract

Isolating block and isolating neighborhood methods have previously been implemented to find transit trajectories and orbits around libration points in the autonomous circular restricted three-body problem. For some applications, the direct computation of these types of trajectories in non-autonomous models more closely approximating real-world ephemerides is beneficial. Here, we apply isolating neighborhood methods to non-autonomous systems, including the elliptic restricted three-body problem (ERTBP). Specifically, simplified isolating neighborhood boundaries are computed around libration points in the ERTBP. These boundaries are used in combination with a bisection method to compute the forward asymptotic trajectories of the isolated invariant set and track orbits around a libration point.

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Rodney L. Anderson, Robert W. Easton, Martin W. Lo. 2023-08-13. Isolating Neighborhood Trajectory Computations in Non-Autonomous Systems Including the Elliptic Restricted Three-Body Problem. https://arxiv.org/abs/2308.06667

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