Central configurations on the plane with \(N\) heavy and \(k\) light bodies

DOI10.1016/j.cnsns.2022.106533OpenAlexW3200625216WikidataQ113877794 ScholiaQ113877794MaRDI QIDQ2160911

Małgorzata Moczurad, Piotr Zgliczyński

Publication date: 3 August 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.09110

zbMATH Keywords

implicit function theoreminterval Newton methodcomputer assisted proofKrawczyk methodanisotropic central configuration: vanishing mass limit problem

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) (n)-body problems (70F10) Computer assisted proofs of proofs-by-exhaustion type (68V05)

Cites Work

• Unnamed Item
• Finiteness of spatial central configurations in the five-body problem
• Finiteness of central configurations of five bodies in the plane
• Central configurations with many small masses
• Finiteness of relative equilibria of the four-body problem
• Relative equilibria with clusters of small masses
• Mathematical problems for the next century
• Central configurations in planar \(n\)-body problem with equal masses for \(n=5,6,7\)
• Topology and mechanics. II: The planar \(n\)-body problem
• Generic Finiteness for Dziobek Configurations
• Relative equilibrium solutions in the four body problem
• Solar System Dynamics

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