Collinear central configuration in four-body problem

DOI10.1007/s10569-005-6596-xzbMath1129.70011OpenAlexW2035907985MaRDI QIDQ816918

Zhifu Xie, Tiancheng Ouyang

Publication date: 2 March 2006

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

Full work available at URL: https://doi.org/10.1007/s10569-005-6596-x

zbMATH Keywords

central configurationDescartes' rulen-body probleminverse problem of central configuration

Mathematics Subject Classification ID

Celestial mechanics (70F15) (n)-body problems (70F10)

Related Items (15)

Number of central configurations and singular surfaces in the mass space in the collinear four-body problem ⋮ Inverse problem of central configurations in the collinear 5-body problem ⋮ Super central configurations in the collinear 5-body problem ⋮ An analytical proof on certain determinants connected with the collinear central configurations in the \(n\)-body problem ⋮ Remarks on the inverse problem of the collinear central configurations in the \(N\)-body problem ⋮ Inverse problem of central configurations and singular curve in the collinear 4-body problem ⋮ Twisted stacked central configurations for the spatial nine-body problem ⋮ Fixed points and the inverse problem for central configurations ⋮ Central Configurations, Super Central Configurations, and Beyond in the n-Body Problem ⋮ Central configurations of the collinear three-body problem and singular surfaces in the mass space ⋮ Pfaffians and the inverse problem for collinear central configurations ⋮ Collinear central configurations in the n-body problem with general homogeneous potential ⋮ Planar symmetric concave central configurations in Newtonian four-body problems ⋮ Classification of four-body central configurations with three equal masses ⋮ Super central configurations of the n-body problem

Cites Work

• On central configurations
• Topology and mechanics. II: The planar \(n\)-body problem
• On the role and the properties ofn body central configurations
• The inverse problem for collinear central configurations

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