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Published 2001 | Accepted Version
Book Section - Chapter Open

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

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.

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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