Central configurations in spatial n-body problem for n = 5, 6 with equal masses
Mathematical Physics
2020-12-10 v2 math.MP
Abstract
We present a computer assisted proof of the full listing of central configurations for spatial n-body problem for n = 5 and 6, with equal masses. For each central configuration we give a full list of its euclidean symmetries. For all masses sufficiently close to the equal masses case we give an exact count of configurations in the planar case for n = 4, 5, 6, 7 and in the spatial case for n = 4, 5, 6.
Cite
@article{arxiv.2006.06768,
title = {Central configurations in spatial n-body problem for n = 5, 6 with equal masses},
author = {Malgorzata Moczurad and Piotr Zgliczynski},
journal= {arXiv preprint arXiv:2006.06768},
year = {2020}
}
Comments
The program with a manual and reports from program runs can be downloaded at http://ww2.ii.uj.edu.pl/~zgliczyn/papers/publ.htm