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Type of Document	Dissertation
Author	Ross, Shane David
Author's Email Address	shane AT cds.caltech.edu
URN	etd-05182004-154045
Persistent URL	http://resolver.caltech.edu/CaltechETD:etd-05182004-154045
Title	Cylindrical manifolds and tube dynamics in the restricted three-body problem
Degree	PhD
Option	Control and Dynamical Systems
Advisory Committee	Advisor Name Title Jerrold E. Marsden Committee Chair Daniel Scheeres Committee Member Martin Lo Committee Member Richard Murray Committee Member
Keywords	trajectory generation transition state symbolic dynamics dynamical astronomy astrodynamics
Date of Defense	2004-04-07
Availability	unrestricted
Abstract Within the phase space of the planar circular restricted three-body problem, stable and unstable manifolds of periodic orbits with a S x R (cylindrical) geometry are shown to exist. The periodic orbits considered reside in bottleneck regions of the energy manifold, separating large zones associated with motion about one mass, the other mass, or both masses. The cylinders have the physical property that all motion through the bottleneck in which the periodic orbit resides must occur through the interior of these surfaces. The cylinders thus mediate the global transport of test particles between large zones of the energy surface which are separated by the bottlenecks. By elucidating the structuring role of the cylinders, we provide a new language for discussing some important problems in celestial mechanics. Furthermore, we propose that these cylindrical structures are the natural objects of study for the design of space mission trajectories which take advantage of three-body effects.
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