Central configurations in planar \(n\)-body problem with equal masses for \(n=5,6,7\)

DOI10.1007/s10569-019-9920-6zbMath1451.70024arXiv1812.07279OpenAlexW3106271581MaRDI QIDQ2005651

Małgorzata Moczurad, Piotr Zgliczyński

Publication date: 8 October 2020

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

Full work available at URL: https://arxiv.org/abs/1812.07279

zbMATH Keywords

Krawczyk operatorsymmetriesinterval arithmeticcentral configurations

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items (10)

Central configurations in the spatial \(n\)-body problem for \(n=5,6\) with equal masses ⋮ Spatial equilateral chain central configurations of the five-body problem with a homogeneous potential ⋮ A stochastic optimization algorithm for analyzing planar central and balanced configurations in the \(n\)-body problem ⋮ Central configurations on the plane with \(N\) heavy and \(k\) light bodies ⋮ On the uniqueness of convex central configurations in the planar 4-body problem ⋮ The integral manifolds of the \(N\) body problem ⋮ Toward finiteness of central configurations for the planar six-body problem by symbolic computations. I: Determine diagrams and orders ⋮ On the uniqueness of trapezoidal four-body central configurations ⋮ Localization of real algebraic hypersurfaces with applications to the enumeration of the classes of relative equilibria of a \((5+1)\)-body problem ⋮ Equilateral chains and cyclic central configurations of the planar five-body problem

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• Generic Finiteness for Dziobek Configurations
• Interval Methods for Systems of Equations
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