Dissertation/Thesis Abstract

Classical three-body systems and the Kolmogorov-Arnold-Moser theorem
by Hill, James A., M.S., California State University, Long Beach, 2012, 44; 1517644
Abstract (Summary)

The aim of this project is to study the classical mechanics of a Hamiltonian three-body system with special emphasis on the Kolmogorov-Arnold-Moser (KAM) theorem using both analytical and computational means. A non-integrable perturbation to an integrable system creates a structure analogous to a Hamiltonian 3-body system. Physical information abut the system can be extracted without solving the underlying equations. The Henon-Heiles potential is used with a non-integrable perturbation to demonstrate that the KAM theorem will predict regions of orbital stability as well as chaotic regions using both numerical and analytical methods.

Indexing (document details)
Advisor: Kwon, Chuhee
School: California State University, Long Beach
School Location: United States -- California
Source: MAI 51/01M(E), Masters Abstracts International
Subjects: Physics, Theoretical physics
Publication Number: 1517644
ISBN: 978-1-267-46046-2
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