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Eighth Mississippi State - UAB Conference on Differential Equations & Computational Simulations
May 7-9, 2009
Department of Mathematics and Statistics, Mississippi State University
Mississippi State, MS, USA

Organizers
Mississippi State University & University of Alabama - Birmingham

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Linear Stability of Some Periodic Simultaneous Binary Collision Orbits in the Four-Body Problem
by
Lennard Bakker
Deparment of Mathematics, Brigham Young Unversity
Coauthors: Gareth Roberts, Ouyang Tiancheng, Duokui Yan, Skyler Simmons

Recently Roberts developed a method for analyzing the linear stability of time-reversible periodic solutions of a Hamiltonian system. He used this method to determine the linear stability of the figure eight orbit in the equal mass three-body problem. We use Robert's method to determine the linear stability of some time-reversible periodic simultaneous binary collision orbits in the symmetric collinear four-body 1, m, m, 1 problem, and also in the two dimensional symmetric equal mass four-body problem.

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Date received: March 4, 2009

Copyright © 2009 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caxp-53.