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arXiv · 1108.2478

Polygonal homographic orbits in spaces of constant curvature

Pieter Tibboel
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Abstract

We prove that the geometry of the 2-dimensional $n$-body problem for spaces of constant curvature $\kappa\neq 0$, $n\geq 3$, does not allow for polygonal homographic solutions, provided that the corresponding orbits are irregular polygons of non-constant size.

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Pieter Tibboel. 2011-08-11. Polygonal homographic orbits in spaces of constant curvature. https://arxiv.org/abs/1108.2478

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