New classes of spatial central configurations for the \(n+3\)-body problem

DOI10.1016/J.NONRWA.2010.07.013zbMath1345.70017OpenAlexW2102717975MaRDI QIDQ611298

Antonio Carlos Fernandes, Luis Fernando Mello

Publication date: 14 December 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652014000100003

zbMATH Keywords

spatial central configurations\(n+3\)-body problemnested central configurations

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items (5)

Central configurations for Newtonian \(N+2p+1\)-body problems ⋮ New classes of spatial central configurations for \(N + N + 2\)-body problem ⋮ Spatial convex but non-strictly convex double-pyramidal central configurations of the \((2n+2)\)-body problem ⋮ Stacked central configurations for Newtonian \({N+2p}\)-body problems ⋮ New classes of spatial central configurations for the 7-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
• Triple and quadruple nested central configurations for the planar \(n\)-body problem
• 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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