On the classification of pyramidal central configurations

DOI10.1090/S0002-9939-96-03135-8zbMath0844.70009MaRDI QIDQ4874329

Nelly Fayçal

Publication date: 2 September 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

rectangleplanes of symmetrykite-shaped quadrilateralexistence of central configurationsregular trapezoid

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items (12)

On the central configurations in the spatial 5-body problem with four equal masses ⋮ Spatial equilateral chain central configurations of the five-body problem with a homogeneous potential ⋮ Continuation and bifurcations of concave central configurations in the four and five body-problems for homogeneous force laws ⋮ Double-antiprism central configurations of the \(3n\)-body problem ⋮ Stacked Central Configurations with a Homogeneous Potential in \(\mathbb{R}^3\) ⋮ Symmetric planar central configurations of five bodies: Euler plus two ⋮ Spatial convex but non-strictly convex double-pyramidal central configurations of the \((2n+2)\)-body problem ⋮ The relationships between regular polygon central configurations and masses for Newtonian \(N\)-body problems ⋮ Central configurations and mutual differences ⋮ Classification of \((n+1, 1)\)-stacked central configurations in \(R^3\) ⋮ Homothetic radial solutions of the Newtonian general spatial \((N+1)\)-body problem ⋮ The Sitnikov problem for several primary bodies configurations

Cites Work

• Unnamed Item
• On central configurations
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem

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