The Binary Returns!
Dynamical Systems
2016-10-25 v3 Classical Analysis and ODEs
Abstract
Consider the spatial Newtonian three body problem at fixed negative energy and fixed angular momentum. The moment of inertia provides a measure of the overall size of a three-body system. We will prove that there is a positive number depending on the energy and angular momentum levels as well as the masses such that every solution at these levels passes through at some instant of time. Motivation for this result comes from trying to prove the impossibility of realizing a certain syzygy sequence in the zero angular momentum problem.
Keywords
Cite
@article{arxiv.1512.01852,
title = {The Binary Returns!},
author = {Connor Jackman},
journal= {arXiv preprint arXiv:1512.01852},
year = {2016}
}
Comments
16 pages, 4 figures