Ross, Shane David (2004) Cylindrical manifolds and tube dynamics in the restricted three-body problem. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-05182004-154045
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.
|Item Type:||Thesis (Dissertation (Ph.D.))|
|Subject Keywords:||astrodynamics; dynamical astronomy; symbolic dynamics; trajectory generation; transition state|
|Degree Grantor:||California Institute of Technology|
|Division:||Engineering and Applied Science|
|Major Option:||Control and Dynamical Systems|
|Thesis Availability:||Public (worldwide access)|
|Defense Date:||7 April 2004|
|Author Email:||shane (AT) cds.caltech.edu|
|Default Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Imported from ETD-db|
|Deposited On:||19 May 2004|
|Last Modified:||26 Dec 2012 02:43|
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