Generic uniqueness of the minimal Moulton central configuration
Mathematical Physics
2015-09-16 v3 Classical Analysis and ODEs
Dynamical Systems
math.MP
Abstract
We prove that, for generic (open and dense) values of the masses, the Newtonian potential function of the collinear N-body problem has critical values when restricted to a fixed inertia level. In particular, we prove that for generic masses, there is only one minimal Moulton configuration.
Keywords
Cite
@article{arxiv.1406.6887,
title = {Generic uniqueness of the minimal Moulton central configuration},
author = {Renato Iturriaga and Ezequiel Maderna},
journal= {arXiv preprint arXiv:1406.6887},
year = {2015}
}