Morse theory for \(S\)-balanced configurations in the Newtonian \(n\)-body problem

DOI10.1007/s10884-021-10036-yarXiv2009.10118OpenAlexW3190631049WikidataQ115383071 ScholiaQ115383071MaRDI QIDQ6095784

Alessandro Portaluri, Luca Asselle

Publication date: 8 September 2023

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.10118

zbMATH Keywords

\(n\)-body problemcentral configurationsbalanced configurations\(45^\circ\)-theorem

Mathematics Subject Classification ID

(n)-body problems (70F10)

Cites Work

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• Morse theory and central configurations in the spatial \(N\)-body problem
• The \(n\)-body problem and mutual distances
• On central configurations
• Bifurcations of balanced configurations for the Newtonian \(n\)-body problem in \(\mathbb{R}^4\)
• Relative equilibria of the 3-body problem in \(\mathbb{R}^4\)
• Equivariant Morse Theory for Flows and an Application to the N-Body Problem
• Planar central configuration estimates in the n-body problem
• Configuration Spaces.

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