Uniqueness results for co-circular central configurations for power-law potentials

DOI10.1016/j.physd.2014.05.003zbMath1349.70021OpenAlexW2072764815MaRDI QIDQ2832911

Gareth E. Roberts, Josep Maria Cors, Glen Richard Hall

Publication date: 15 November 2016

Published in: Physica D: Nonlinear Phenomena (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150681

zbMATH Keywords

\(n\)-body problemcentral configuration\(n\)-vortex problemco-circular central configuration

Mathematics Subject Classification ID

Hamilton's equations (70H05) (n)-body problems (70F10)

Related Items (9)

Splendid isolation: local uniqueness of the centered co-circular relative equilibria in the \(N\)-body problem ⋮ Finiteness of polygonal relative equilibria for generalised quasi-homogeneous \(n\)-body problems and \(n\)-body problems in spaces of constant curvature ⋮ Stacked Central Configurations with a Homogeneous Potential in \(\mathbb{R}^3\) ⋮ On the centered co-circular central configurations for the n-body problem ⋮ Results on equality of masses for choreographic solutions of n-body problems ⋮ Planar \(N\)-body central configurations with a homogeneous potential ⋮ On the uniqueness of the isosceles trapezoidal central configuration in the 4-body problem for power-law potentials ⋮ Circular non-collision orbits for a large class of \(n\)-body problems ⋮ On centered co-circular central configurations of the \(n\)-body problem

Cites Work

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• Central configurations of the planar \(1+N\) body problem
• On central configurations
• The co-circular central configurations of the 5-body problem
• Relative equilibria of point vortices and the fundamental theorem of algebra
• New methods in celestial mechanics and mission design
• Stationary Configurations of Point Vortices
• The \(N\)-vortex problem. Analytical techniques

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