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Dynamical Systems, the Three-Body Problem and Space Mission Design

Koon, Wang Sang and Lo, Martin W. and Marsden, Jerrold E. and Ross, Shane D. (2000) Dynamical Systems, the Three-Body Problem and Space Mission Design. In: International Conference on Differential Equations. Control and Dynamical Systems. World Scientific , Berlin, pp. 1167-1181. ISBN 978061524095-4.

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This paper concerns heteroclinic connections and resonance transitions in the planar circular restricted 3-body problem, with applications to the dynamics of comets and asteroids and the design of space missions such as the Genesis Discovery Mission and low energy Earth to Moon transfers. The existence of a heteroclinic connection between pairs of equal energy periodic orbits around two of the libration points is shown numerically. This is applied to resonance transition and the construction of orbits with prescribed itineraries. Invariant manifold structures are relevant for transport between the interior and exterior Hill’s regions, and other resonant phenomena throughout the solar system.

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Additional Information:© 2000. We thank Gerard Gόmez and Josep Masdemont for helpful discussions and for sharing their wonderful software tools. We thank Donald Yeomans and Alan Chamberlin for the JPL Horizons integrator which generated the comet orbits. We thank Edward Belbruno and Brian Marsden for an advanced copy of their comet paper. We also wish to thank the following colleagues for helpful discussions and comments: Brian Barden, Julia Bell, Peter Goldreich, Kathleen Howell, Angel Jorba, Andrew Lange, Jaume Llibre, Regina Martínez, Richard McGehee, William McLaughlin, Linda Petzold, Nicole Rappaport, Ralph Roncoli, Carles Simό, Scott Tremaine, Stephen Wiggins, and Roby Wilson. This work was carried out at the Jet Propulsion Laboratory and the California Institute of Technology under a contract with the National Aeronautics and Space Administration. The work was partially supported by the Caltech President’s fund, the NASA Advanced Concepts Research Program, The Genesis Project, NSF grant KDI/ATM-9873133 and AFOSR Microsat contract F49620-99-1-0190.
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Caltech President’s fundUNSPECIFIED
NASA Advanced Concepts Research ProgramUNSPECIFIED
Genesis ProjectUNSPECIFIED
Series Name:Control and Dynamical Systems
Record Number:CaltechAUTHORS:20100630-152103628
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:18885
Deposited By: Ruth Sustaita
Deposited On:03 Aug 2010 22:37
Last Modified:03 Oct 2019 01:49

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