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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 http://resolver.caltech.edu/CaltechAUTHORS:20100630-152103628

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Abstract

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.


Item Type:Book Section
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http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.121.9403OtherUNSPECIFIED
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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Funding AgencyGrant Number
NASAUNSPECIFIED
Caltech President’s fundUNSPECIFIED
NASA Advanced Concepts Research ProgramUNSPECIFIED
Genesis ProjectUNSPECIFIED
NSFKDI/ATM-9873133
AFOSRF49620-99-1-0190
Record Number:CaltechAUTHORS:20100630-152103628
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20100630-152103628
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:18885
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:03 Aug 2010 22:37
Last Modified:26 Dec 2012 12:11

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