On a class of central configurations in the planar \(3n\)-body problem

DOI10.1007/s11786-017-0309-1zbMath1427.70033OpenAlexW2608998591WikidataQ59608460 ScholiaQ59608460MaRDI QIDQ1701664

Agnieszka Siluszyk

Publication date: 27 February 2018

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11786-017-0309-1

zbMATH Keywords

critical pointscentral configuration\(N\)-body problemdegenerate central configuration

Mathematics Subject Classification ID

Celestial mechanics (70F15) (n)-body problems (70F10)

Related Items

On central configurations of the \(\kappa{n}\)-body problem ⋮ On the existence of symmetric bicircular central configurations of the \(3n\)-body problem

Uses Software

• Mathematica

Cites Work

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• Rosette central configurations, degenerate central configurations and bifurcations
• Bifurcation of central configuration in the \(2N+1\) body problem
• Central configurations, periodic orbits, and Hamiltonian systems. Lecture notes given at the research program on central configurations, periodic orbits and beyond in celestial mechanics, Barcelona, Spain, January 27--31, 2014
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• Topology and mechanics. II: The planar \(n\)-body problem
• Sur l'existence de certaines configurations d'equilibre relatif dans le probleme desN corps

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