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arXiv · 1506.04666

Central configurations of the spatial seven-body problem: two twisted triangles plus one

Allyson Oliveira
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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 $\pi/3$ 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.

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Allyson Oliveira. 2015-06-12. Central configurations of the spatial seven-body problem: two twisted triangles plus one. https://arxiv.org/abs/1506.04666

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