Remarks on the inverse problem of the collinear central configurations in the \(N\)-body problem

DOI10.3934/era.2022130OpenAlexW4285240474MaRDI QIDQ2697159

Zhifu Xie

Publication date: 18 April 2023

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2022130

zbMATH Keywords

Pfaffianskew symmetric matrix\(N\)-body problemgeometric equivalenceinverse problem of central configurations

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70Fxx)

Cites Work

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• An analytical proof on certain determinants connected with the collinear central configurations in the \(n\)-body problem
• Finiteness of central configurations of five bodies in the plane
• Central configurations of the collinear three-body problem and singular surfaces in the mass space
• Collinear central configuration in four-body problem
• Finiteness of relative equilibria of the four-body problem
• Mathematical problems for the next century
• Collinear central configurations and singular surfaces in the mass space
• Pfaffians and the inverse problem for collinear central configurations
• Super central configurations in the collinear 5-body problem
• Number of central configurations and singular surfaces in the mass space in the collinear four-body problem
• Super central configurations of the n-body problem
• The inverse problem for collinear central configurations

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