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Invariant Manifolds, the Spatial Three-Body Problem and Space Mission Design

Gómez, G. and Koon, W. S. and Lo, M. W. and Marsden, J. E. and Masdemont, J. and Ross, S. D. (2001) Invariant Manifolds, the Spatial Three-Body Problem and Space Mission Design. In: Astrodynamics 2001. Advances in Astronautical Sciences. No.109. American Astronautical Society , San Diego, pp. 3-22. ISBN 0-87703-488-5 http://resolver.caltech.edu/CaltechAUTHORS:20101007-081509793

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Abstract

The invariant manifold structures of the collinear libration points for the spatial restricted three-body problem provide the framework for understanding complex dynamical phenomena from a geometric point of view. In particular, the stable and unstable invariant manifold \tubes" associated to libration point orbits are the phase space structures that provide a conduit for orbits between primary bodies for separate three-body systems. These invariant manifold tubes can be used to construct new spacecraft trajectories, such as a \Petit Grand Tour" of the moons of Jupiter. Previous work focused on the planar circular restricted three-body problem. The current work extends the results to the spatial case.


Item Type:Book Section
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http://www.gg.caltech.edu/~mwl/publications/papers/invariant.pdf AuthorUNSPECIFIED
Additional Information:© 2002 Published for the American Astronautical Society by Univelt. We would like to thank Steve Wiggins, Laurent Wiesenfeld, Charles Jaffé, T. Uzer and Luz Vela-Arevalo for their discussions. This work was carried out in part at the Jet Propulsion Laboratory and the California Institute of Technology under a contract with the National Aeronautics and Space Administration. In addition, the work was partially supported by the NSF grant KDI/ATM-9873133, JPL's LTool project, AFOSR Microsat contract F49620-99-1-0190 and Catalan grant 2000SGR-00027.
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Funding AgencyGrant Number
NSFKDI/ATM-9873133
JPL LTool projectUNSPECIFIED
Air Force Office of Scientific Research (AFOSR) MicrosatF49620-99-1-0190
Catalan2000SGR-00027
Record Number:CaltechAUTHORS:20101007-081509793
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20101007-081509793
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20327
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:19 Nov 2010 23:37
Last Modified:26 Dec 2012 12:30

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