Stacked Central Configurations for Newtonian N+4-Body Problems
Mathematical Physics
2012-04-12 v1 Classical Analysis and ODEs
math.MP
Abstract
In this paper,we study spatial central configurations where N bodies are at the vertices of a regular N-gon and the other 4 bodies are symmetrically located on the straight line that is perpendicular to the plane that contains and passes through the center of .We study the necessary conditions about masses for the bodies which can form a central configuration and show the existence of central configurations for Newtonian N+4-body problems.
Keywords
Cite
@article{arxiv.1204.2472,
title = {Stacked Central Configurations for Newtonian N+4-Body Problems},
author = {Furong Zhao and Shiqing Zhang},
journal= {arXiv preprint arXiv:1204.2472},
year = {2012}
}