New spatial central configurations in the 5-body problem

DOI10.1590/S0001-37652011005000023zbMath1356.70016MaRDI QIDQ4915052

Antonio Carlos Fernandes, Luis Fernando Mello

Publication date: 16 April 2013

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

zbMATH Keywords

5-body problemconvex configurationspatial configurationsconcave configurationventral configurations

Mathematics Subject Classification ID

Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10)

Related Items (4)

Double-antiprism central configurations of the \(3n\)-body problem ⋮ Co-circular and co-spherical kite central configurations ⋮ New classes of spatial central configurations for the 7-body problem ⋮ Homothetic radial solutions of the Newtonian general spatial \((N+1)\)-body problem

Cites Work

• Stacked central configurations for the spatial six-body problem
• Central configurations of nested regular polyhedra for the spatial \(2n\)-body problem
• Central configurations of three nested regular polyhedra for the spatial \(3n\)-body problem
• Finiteness and bifurcations of some symmetrical classes of central configurations
• Four-body central configurations with some equal masses
• On central configurations
• Seven-body central configurations: a family of central configurations in the spatial seven-body problem
• Topology and mechanics. II: The planar \(n\)-body problem
• Central configurations of nested regular tetrahedrons
• On the role and the properties ofn body central configurations

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