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 (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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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|
|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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|Deposited By:||Tony Diaz|
|Deposited On:||19 Nov 2010 23:37|
|Last Modified:||26 Dec 2012 12:30|
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