Continua of central configurations with a negative mass in the \(n\)-body problem

DOI10.1007/s10569-013-9471-1zbMath1266.70019OpenAlexW1971287716MaRDI QIDQ1955523

Spencer Sasarita, Julian Hachmeister, Jasmine McGhee, John Little, Roberto Pelayo

Publication date: 14 June 2013

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

Full work available at URL: https://doi.org/10.1007/s10569-013-9471-1

zbMATH Keywords

symmetry groups\(n\)-body problemcentral configurationsregular polyhedraneutral configurationsregular polytope configurations

Mathematics Subject Classification ID

Celestial mechanics (70F15) (n)-body problems (70F10) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items

Three-dimensional central configurations in ℍ3 and 𝕊3 ⋮ Singular continuation of planar central configurations with clusters of bodies ⋮ Planar \(N\)-body central configurations with a homogeneous potential

Cites Work

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• Finiteness of spatial central configurations in the five-body problem
• Finiteness of central configurations of five bodies in the plane
• On the existence of central configurations of \(p\) nested regular polyhedra
• Finiteness of relative equilibria of the four-body problem
• The central configurations of four masses \(x, - x, y, - y\)
• Mathematical problems for the next century
• A continuum of relative equilibria in the five-body problem

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