On the finiteness issue of four-body balanced configurations in the plane

Yuchen Wang; Lei Zhao

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arXiv · 2412.17639

On the finiteness issue of four-body balanced configurations in the plane

Yuchen Wang·Lei Zhao

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Abstract

We show that the number of $\mathbf{S}$-balanced configurations of four bodies in the plane is finite, provided that the symmetric matrix $\mathbf{S}$ is close to a numerical matrix.

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Yuchen Wang, Lei Zhao. 2024-12-23. On the finiteness issue of four-body balanced configurations in the plane. https://arxiv.org/abs/2412.17639

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