Approach to total collision in the spatial 4-body problem

Richard Montgomery; Guowei Yu

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arXiv · 2609.32088

Approach to total collision in the spatial 4-body problem

Richard Montgomery·Guowei Yu

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Abstract

Every solution for the classical four body problem in space which ends in total collision has a limiting shape. We prove that when that shape is planar the entire solution lies in a fixed plane and when that shape is collinear the entire solution lies in a fixed line.

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Richard Montgomery, Guowei Yu. 2026-09-25. Approach to total collision in the spatial 4-body problem. https://arxiv.org/abs/2609.32088

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