A Four-Body Convex Central Configuration with Perpendicular Diagonals Is Necessarily a Kite
Classical Analysis and ODEs
2019-03-06 v1 Mathematical Physics
math.MP
Abstract
We prove that any four-body convex central configuration with perpendicular diagonals must be a kite configuration. The result extends to general power-law potential functions, including the planar four-vortex problem.
Keywords
Cite
@article{arxiv.1610.08654,
title = {A Four-Body Convex Central Configuration with Perpendicular Diagonals Is Necessarily a Kite},
author = {Montserrat Corbera and Josep M. Cors and Gareth E. Roberts},
journal= {arXiv preprint arXiv:1610.08654},
year = {2019}
}
Comments
8 pages, 3 figures