An analytical proof on certain determinants connected with the collinear central configurations in the \(n\)-body problem

DOI10.1007/s10569-013-9525-4zbMath1293.15003OpenAlexW2117271212MaRDI QIDQ399976

Zhifu Xie

Publication date: 20 August 2014

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-013-9525-4

zbMATH Keywords

determinantPfaffianskew symmetric matrixcentral configurations

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) (n)-body problems (70F10)

Related Items (5)

Inverse problem of central configurations in the collinear 5-body problem ⋮ Super central configurations in the collinear 5-body problem ⋮ Remarks on the inverse problem of the collinear central configurations in the \(N\)-body problem ⋮ Fixed points and the inverse problem for central configurations ⋮ Pfaffians and the inverse problem for collinear central configurations

Cites Work

• Collinear central configuration in four-body problem
• The inverse problem for collinear central configurations

This page was built for publication: An analytical proof on certain determinants connected with the collinear central configurations in the \(n\)-body problem