A limit of nonplanar 5-body central configurations is nonplanar
Mathematical Physics
2024-02-07 v2 math.MP
Abstract
Moeckel (1990), Moeckel and Sim\'o (1995) proved that, while continuously changing the masses, a 946-body planar central configuration bifurcates into a spatial central configuration. We show that this kind of bifurcation does not occur with 5 bodies. Question 17 in the list Albouy & al (2012) is thus answered negatively.
Cite
@article{arxiv.2308.12901,
title = {A limit of nonplanar 5-body central configurations is nonplanar},
author = {Alain Albouy and Antonio Carlos Fernandes},
journal= {arXiv preprint arXiv:2308.12901},
year = {2024}
}
Comments
17 pages, 5 figures, 2 footnotes