PreprintCC BY 4.0arXiv
Approach to total collision in the spatial 4-body problem
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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BibTeX
@misc{montgomery2026approach,
title = {{Approach to total collision in the spatial 4-body problem}},
author = {Richard Montgomery and Guowei Yu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.32088},
eprint = {2609.32088},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.32088},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Approach to total collision in the spatial 4-body problem
AU - Richard Montgomery
AU - Guowei Yu
PY - 2026
DA - 2026/09/25
PB - arXiv
DO - 10.48550/arxiv.2609.32088
UR - https://arxiv.org/abs/2609.32088
AB - 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.
ER -