Finiteness of Spatial Central Configurations with Fixed Subconfigurations

DOI10.1137/22m1490788zbMath1528.70016OpenAlexW4385554171MaRDI QIDQ6116686

Marshall Hampton, Yiyang Deng

Publication date: 16 August 2023

Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/22m1490788

zbMATH Keywords

tropical geometryextended central configurationgeneralized \(N\)-body problemrational homogeneous central potential

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10)

Cites Work

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• Finiteness of spatial central configurations in the five-body problem
• Finiteness of central configurations of five bodies in the plane
• Finiteness of relative equilibria of the four-body problem
• Finiteness of relative equilibria in the planar generalized \(N\)-body problem with fixed subconfigurations
• The \(n\)-body problem and mutual distances
• Mathematical problems for the next century
• Finiteness of kite relative equilibria in the five-vortex and five-body problems
• Equilateral chains and cyclic central configurations of the planar five-body problem
• Generic Finiteness for Dziobek Configurations
• Finiteness of stationary configurations of the four-vortex problem
• The tropical Grassmannian

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