Linear Stability for Some Symmetric Periodic Simultaneous Binary Collision Orbits in the Four-Body Problem
Dynamical Systems
2015-05-13 v1
Abstract
We apply the analytic-numerical method of Roberts to determine the linear stability of time-reversible periodic simultaneous binary collision orbits in the symmetric collinear four body problem with masses 1, m, m, 1, and also in a symmetric planar four-body problem with equal masses. For the collinear problem, this verifies the earlier numerical results of Sweatman for linear stability.
Cite
@article{arxiv.0905.4519,
title = {Linear Stability for Some Symmetric Periodic Simultaneous Binary Collision Orbits in the Four-Body Problem},
author = {Lennard F. Bakker and Tiancheng Ouyang and Skyler Simmons and Duokui Yan and Gareth E. Roberts},
journal= {arXiv preprint arXiv:0905.4519},
year = {2015}
}
Comments
16 pages, 4 figures