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Invariant Manifolds, the Spatial Three-Body Problem and Space Mission DesignThe 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 '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.
Document ID
20100017714
Acquisition Source
Jet Propulsion Laboratory
Document Type
Preprint (Draft being sent to journal)
External Source(s)
Authors
Gomez, G.
(Barcelona Univ. Spain)
Koon, W. S.
(California Inst. of Tech. Pasadena, CA, United States)
Lo, Martin W.
(Jet Propulsion Lab., California Inst. of Tech. Pasadena, CA, United States)
Marsden, J. E.
(California Inst. of Tech. Pasadena, CA, United States)
Masdemont, J.
(Universidad Politecnica de Catalunya Barcelona, Spain)
Ross, S. D.
(California Inst. of Tech. Pasadena, CA, United States)
Date Acquired
August 24, 2013
Publication Date
July 30, 2001
Subject Category
Mathematical And Computer Sciences (General)
Meeting Information
Meeting: AAS/AIAA Astrodynamics Specialtists Conference
Location: Quebec City
Country: Canada
Start Date: July 30, 2001
End Date: August 2, 2001
Funding Number(s)
CONTRACT_GRANT: 2000SGR-00027
CONTRACT_GRANT: NSF KDI/ATM-9873133
CONTRACT_GRANT: F49620-99-1-0190
Distribution Limits
Public
Copyright
Other
Keywords
three body problem
invariant manifolds
halo orbit

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