Applying the symmetry groups to study the \(n\) body problem

DOI10.1016/j.jde.2021.11.016zbMath1505.70034OpenAlexW3213264505MaRDI QIDQ2064312

Tingjie Zhou, Zhihong Xia

Publication date: 5 January 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2021.11.016

zbMATH Keywords

local stabilityequilateral triangular configurationfinite group representation theoryHessian eigenvaluesquare central configuration

Mathematics Subject Classification ID

(n)-body problems (70F10) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Cites Work

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• On the uniqueness of the isosceles trapezoidal central configuration in the 4-body problem for power-law potentials
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