Finiteness of Spatial Central Configurations with Fixed Subconfigurations

Yiyang Deng; Marshall Hampton

doi:10.1137/22M1490788

Finiteness of Spatial Central Configurations with Fixed Subconfigurations

Yiyang Deng, Marshall Hampton

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that any fixed configuration of N-1 masses in space with no three points collinear and no four points cocircular can be extended to a central configuration of N masses by adding a specified additional mass only in finitely many ways. This holds for a family of potential functions including the Newtonian gravitational case.

Original language	English (US)
Pages (from-to)	610-622
Number of pages	13
Journal	SIAM Journal on Applied Algebra and Geometry
Volume	7
Issue number	3
DOIs	https://doi.org/10.1137/22M1490788
State	Published - 2023

Bibliographical note

Publisher Copyright:
Copyright © 2023 Authors.

Keywords

celestial mechanics
central configurations
n-body problem

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Finiteness of Spatial Central Configurations with Fixed Subconfigurations

Abstract

Bibliographical note

Keywords

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