Work

Approach to total collision in the spatial 4-body problem

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.32088

Authors: Montgomery, Richard, Yu, Guowei

Institutions: University of California, Santa Cruz, Nankai University

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities

OpenAlex ID: W7214733333

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