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Published 2003 | Accepted Version
Book Section - Chapter Open

Invariant Manifolds, the Spatial Three-Body Problem and Petit Grand Tour of Jovian Moons

Abstract

The invariant manifold structures of the collinear libration points particular, the stable and unstable invariant manifold "tubes" associated to for the spatial restricted three-body problem provide the framework for understanding complex dynamical phenomena from a geometric point of view. In libration point periodic orbits are phase space structures that provide a conduit for orbits between the primary bodies in 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

© 2003 World Scientific Publishing Company. This paper is a summary of a longer paper, "Invariant Manifolds, the Spatial Three-Body Problem and Space Mission Design,"(1) which received the award for the Best Paper at the AIAA Astrodynamics Specialist Conference, Quebec City, Canada, August 2001.

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Created:
August 19, 2023
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October 23, 2023