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arXiv · 2103.08906

On the finiteness of four-body central configurations

Xiang Yu·Shuqiang Zhu
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Abstract

The number of central configurations in the four body problem was proved to be finite, first by Hampton and Moeckel, then by Albouy and Kaloshin, when the masses are all positive. We prove that the four-body central configurations are finite for any four nonzero masses.

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Xiang Yu, Shuqiang Zhu. 2021-03-16. On the finiteness of four-body central configurations. https://arxiv.org/abs/2103.08906

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