A stochastic optimization algorithm for analyzing planar central and balanced configurations in the $n$-body problem
Dynamical Systems
2020-12-24 v2 Numerical Analysis
Numerical Analysis
Abstract
A stochastic optimization algorithm for analyzing planar central and balanced configurations in the -body problem is presented. We find a comprehensive list of equal mass central configurations satisfying the Morse equality up to . We show some exemplary balanced configurations in the case , as well as some balanced configurations without any axis of symmetry in the cases and .
Cite
@article{arxiv.2010.15358,
title = {A stochastic optimization algorithm for analyzing planar central and balanced configurations in the $n$-body problem},
author = {Alexandru Doicu and Lei Zhao and Adrian Doicu},
journal= {arXiv preprint arXiv:2010.15358},
year = {2020}
}
Comments
37 pages, 13 figures, 2 tables