Classification of stacked central configurations in R^3
Dynamical Systems
2019-03-01 v3
Abstract
We classify the extensions of n-body central configurations to (n + 1)-body central configurations in R3, in both the collinear case and the non-collinear case. We completely solve the two open questions posed by Hampton (Nonlinearity 18: 2299- 2304, 2005). This classification is related with study on co-circular and co-spherical central configurations. We also obtain a general property of co-circular central configurations.
Keywords
Cite
@article{arxiv.1812.00200,
title = {Classification of stacked central configurations in R^3},
author = {Xiang Yu and Shuqiang Zhu},
journal= {arXiv preprint arXiv:1812.00200},
year = {2019}
}
Comments
24 pages, 4 figures