Continuation and bifurcations of concave central configurations in the four and five body-problems for homogeneous force laws

DOI10.1016/j.jmaa.2016.09.055zbMath1362.70016OpenAlexW2529659539MaRDI QIDQ333911

Alan Almeida Santos, Ernesto Pérez-Chavela, Claudio Vidal, Marcelo Marchesin

Publication date: 31 October 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.09.055

zbMATH Keywords

bifurcation\(N\)-body problemcentral configurationsDziobek configurations

Mathematics Subject Classification ID

(n)-body problems (70F10) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (5)

Inverse problem of central configurations in the collinear 5-body problem ⋮ Super central configurations in the collinear 5-body problem ⋮ A limit of nonplanar 5-body central configurations is nonplanar ⋮ Stacked central configurations in the 5-vortex problem ⋮ On the uniqueness of the isosceles trapezoidal central configuration in the 4-body problem for power-law potentials

Cites Work

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• Symmetry of the restricted \(4+1\) body problem with equal masses
• On a paper of Moeckel on central configurations
• Dziobek's configurations in restricted problems and bifurcation
• Convex four-body central configurations with some equal masses
• Restricted rhomboidal five-body problem
• Bifurcation of a central configuration
• Bifurcations of relative equilibria in the 4- and 5-body problem
• On the classification of pyramidal central configurations
• Stacked central configurations: new examples in the planar five-body problem

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