"Twist Vectors" for Central Configuration Equations
Dynamical Systems
2024-07-29 v1
Abstract
A new coordinate system on the tangent space to planar configurations is introduced to simplify some calculations on central configurations and relative equilibria in the -body problem with a homogeneous potential, which includes the case of Newtonian gravity. These coordinates are applied to some problems on four-body central configurations to illustrate their utility.
Keywords
Cite
@article{arxiv.2407.18615,
title = {"Twist Vectors" for Central Configuration Equations},
author = {Marshall Hampton},
journal= {arXiv preprint arXiv:2407.18615},
year = {2024}
}