On the number of central configurations in the n-body problem

DOI10.1007/BF00048988zbMath0724.70016OpenAlexW1973259503MaRDI QIDQ758240

Jaume Llibre

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1007/bf00048988

zbMATH Keywords

Central configurationspotential functiontopological sphere

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

Finiteness of relative equilibria of the four-body problem ⋮ The number of planar central configurations for the 4–body problem is finite when 3 mass positions are fixed ⋮ On the central configurations of the n-body problem ⋮ Tangential trapezoid central configurations ⋮ New central configurations for the planar 5-body problem ⋮ Planar \(N\)-body central configurations with a homogeneous potential ⋮ Hjelmslev quadrilateral central configurations ⋮ Bicentric quadrilateral central configurations ⋮ Particle motions in Maxwell's ring dynamical systems ⋮ Central configurations of the planar \(1+N\) body problem ⋮ Existence of a lower bound for the distance between point masses of relative equilibria for generalised quasi-homogeneous n-body problems and the curved n-body problem ⋮ Central configurations for \((pN+gN)\)-body problems

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