Hyperbolic shirts fit a 4-body problem

DOI10.1016/J.GEOMPHYS.2017.09.006zbMath1391.70029arXiv1610.08165OpenAlexW2963237448MaRDI QIDQ1685853

Josué Meléndez, Connor Jackman

Publication date: 20 December 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.08165

zbMATH Keywords

\(N\)-body problemshyperbolic dynamicscurvature computations

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items (2)

Loose ends in a strong force 3-body problem ⋮ On the sectional curvature along central configurations

Cites Work

• No hyperbolic pants for the 4-body problem with strong potential
• The Three-Body Problem and the Shape Sphere
• Conservative Dynamical Systems Involving Strong Forces
• Saari's homographic conjecture for general masses in planar three-body problem under Newton potential and a strong force potential
• The three-body problem and equivariant Riemannian geometry
• Fitting hyperbolic pants to a three-body problem
• Some counterexamples to a generalized Saari’s conjecture
• Action-minimizing orbits in the parallelogram four-body problem with equal masses

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