Characterization of transversal homothetic solutions in the n-body problem

DOI10.1007/BF00250623zbMath0473.70009OpenAlexW2066083096MaRDI QIDQ1158778

Jaume Llibre, Carles Simó

Publication date: 1981

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00250623

zbMATH Keywords

n-body probleminvariant asymptotic manifoldsMcGehee blow-uptransversal homothetic solutions

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items

Chaotic dynamics near triple collision, Ejection-collision orbits in two degrees of freedom problems in celestial mechanics, From brake to syzygy, Central configurations of the planar \(1+N\) body problem, On the extendable regular integrals of the n-body problem

Cites Work

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• Topology and mechanics. I
• On the role and the properties ofn body central configurations
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• Classifying relative equilibria. II
• Structural stability of homothetic solutions of the collinearn-body problem