Abstract/Details

Cylindrical manifolds and tube dynamics in the restricted three -body problem


2004 2004

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Abstract (summary)

Within the phase space of the planar circular restricted three-body problem, stable and unstable manifolds of periodic orbits with a S1 × [special characters omitted] (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.

Indexing (details)


Subject
Aerospace materials;
Mechanics
Classification
0538: Aerospace materials
0346: Mechanics
Identifier / keyword
Applied sciences; Astrodynamics; Cylindrical manifolds; Restricted three-body problem; Three-body problem; Tube
Title
Cylindrical manifolds and tube dynamics in the restricted three -body problem
Author
Ross, Shane David
Number of pages
140
Publication year
2004
Degree date
2004
School code
0037
Source
DAI-B 65/10, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
9780496114498, 0496114492
Advisor
Marsden, Jerrold E.
University/institution
California Institute of Technology
University location
United States -- California
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
3151384
ProQuest document ID
305202917
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/305202917
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