Central configurations of the spatial seven-body problem: two twisted triangles plus one
Metric Geometry
2015-06-16 v1 Dynamical Systems
Abstract
In this work we are interested in the central configurations of the spatial seven-body problem where six of them are at vertices of two congruents equilateral triangles belong to parallel planes and one triangle is a rotation by the angle from the other one. We show a existence and uniqueness of a class of central configuration with this shape, namely six bodies with equal masses at the vertice of a regular octahedron with the seventh body in its center. There is not restriction to the mass of the seventh body.
Cite
@article{arxiv.1506.04666,
title = {Central configurations of the spatial seven-body problem: two twisted triangles plus one},
author = {Allyson Oliveira},
journal= {arXiv preprint arXiv:1506.04666},
year = {2015}
}