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Bibliographic Details
Main Authors: Moczurad, Małgorzata, Zgliczyński, Piotr
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2601.01165
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author Moczurad, Małgorzata
Zgliczyński, Piotr
author_facet Moczurad, Małgorzata
Zgliczyński, Piotr
contents We provide a computer-assisted proof of the exact count of classes of central configurations for five bodies for several sets of mass values that are exceptional from the point of view of the finiteness results of Albouy and Kaloshin in the planar case and of Hampton and Jensen in the spatial case.
format Preprint
id arxiv_https___arxiv_org_abs_2601_01165
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Central Configurations with Unequal Masses: Finiteness in Several Exceptional Cases of Five Bodies
Moczurad, Małgorzata
Zgliczyński, Piotr
Dynamical Systems
We provide a computer-assisted proof of the exact count of classes of central configurations for five bodies for several sets of mass values that are exceptional from the point of view of the finiteness results of Albouy and Kaloshin in the planar case and of Hampton and Jensen in the spatial case.
title Central Configurations with Unequal Masses: Finiteness in Several Exceptional Cases of Five Bodies
topic Dynamical Systems
url https://arxiv.org/abs/2601.01165