Almost all 3-body relative equilibria on \(\mathbb{S}^2\) and \(\mathbb{H}^2\) are inclined

DOI10.3934/DCDSS.2020067zbMath1439.70022OpenAlexW2940196507MaRDI QIDQ2180361

Shuqiang Zhu, Florin Nicolae Diacu

Publication date: 13 May 2020

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2020067

zbMATH Keywords

relative equilibriathree-body problemcelestial mechanicscentral configurationscurved 3-body problem

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15)

Related Items (5)

Equilibrium points in restricted problems on S2 and H2 ⋮ Dziobek equilibrium configurations on a sphere ⋮ Stability of regular polygonal relative equilibria on \(\mathbb{S}^2\) ⋮ Three-body relative equilibria on \(\mathbb{S}^2\) ⋮ Compactness and index of ordinary central configurations for the curved \(n\)-body problem

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