On the centre manifold of collinear points in the planar three-body problem

DOI10.1023/A:1022901808349zbMath1062.70021OpenAlexW94406092MaRDI QIDQ1415637

Regina Martínez, Anna Samà

Publication date: 9 December 2003

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022901808349

zbMATH Keywords

three-body problemKAM theorylibration pointshomographic solutions

Mathematics Subject Classification ID

Three-body problems (70F07) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (4)

Rigorous KAM results around arbitrary periodic orbits for Hamiltonian systems ⋮ Maslov-type indices and linear stability of elliptic Euler solutions of the three-body problem ⋮ Linear stability of an elliptic relative equilibrium in the spatial \(n\)-body problem via index theory ⋮ Analysis of the stability of a family of singular-limit linear periodic systems in \(\mathbb {R}^4\). Applications

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