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The Topology of Transport Through Planar Lyapunov Orbits

Swenson, Travis and Lo, Martin and Anderson, Brian and Gorordo, Thomas (2018) The Topology of Transport Through Planar Lyapunov Orbits. In: 2018 Space Flight Mechanics Meeting. American Institute of Aeronautics and Astronautics , Reston, VA, Art. No. 2018-1692. ISBN 9781624105333. https://resolver.caltech.edu/CaltechAUTHORS:20190816-144341000

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Abstract

An investigation of the topology of flow in the equilibrium region of the Planar Circular Restricted Three-Body Problem is presented. By utilizing a homeomorphic mapping we are able to visualize trajectories in the energy surface directly, giving insight into the governing role of invariant manifolds. We show that manifolds govern the flow of objects by physically blocking trajectories exterior to the manifold tubes in the energy surface from transiting. We demonstrate that transit orbits must flow inside invariant manifolds and pass through Lyapunov orbits in phase space, although they may appear to wander outside when projected in configuration space. Through a numerical investigation of transit orbits, we show manifolds govern the flow of objects over a wider range of energies than previously proven, controlling transit for energies at least as high as C = C(L_5).


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.2514/6.2018-1692DOIArticle
Additional Information:© 2018 American Institute of Aeronautics and Astronautics.
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Other Numbering System NameOther Numbering System ID
AIAA Paper2018-1692
Record Number:CaltechAUTHORS:20190816-144341000
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190816-144341000
Official Citation:The Topology of Transport Through Planar Lyapunov Orbits Travis Swenson, Martin Lo, Brian D. Anderson, and Thomas Gorordo 2018 Space Flight Mechanics Meeting. https://doi.org/10.2514/6.2018-1692
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:97971
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:19 Aug 2019 21:49
Last Modified:03 Oct 2019 21:36

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