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arXiv · 2502.20228

Finiteness of non-degenerate central configurations of the planar $n$-body problem with a homogeneous potential

Julius Natrup·Qun Wang·Yuchen Wang
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Abstract

We show that there exist an upper bound and a lower bound for the number of non-degenerate central configurations of the n-body problem in the plane with a homogeneous potential. In particular, both bounds are independent of the homogeneous degree of the potential under consideration.

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Julius Natrup, Qun Wang, Yuchen Wang. 2025-02-27. Finiteness of non-degenerate central configurations of the planar $n$-body problem with a homogeneous potential. https://arxiv.org/abs/2502.20228

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