STABILITY OF HOMOGRAPHIC SOLUTIONS OF THE PLANAR THREE-BODY PROBLEM WITH HOMOGENEOUS POTENTIALS

DOI10.1142/9789812702067_0166zbMath1326.70014OpenAlexW2317810914MaRDI QIDQ5394981

Anna Samà, Carles Simó, Regina Martínez

Publication date: 1 November 2006

Published in: EQUADIFF 2003 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789812702067_0166

Mathematics Subject Classification ID

Three-body problems (70F07) Stability for nonlinear problems in mechanics (70K20) Stability of solutions to ordinary differential equations (34D20)

Related Items (9)

The reduction of the linear stability of elliptic Euler-Moulton solutions of the \(n\)-body problem to those of 3-body problems ⋮ Maslov-type indices and linear stability of elliptic Euler solutions of the three-body problem ⋮ Linear stability of elliptic Lagrangian solutions of the planar three-body problem via index theory ⋮ Hyperbolicity of elliptic Lagrangian orbits in the planar three body problem ⋮ On the sectional curvature along central configurations ⋮ Stability diagram for 4D linear periodic systems with applications to homographic solutions ⋮ Analysis of the stability of a family of singular-limit linear periodic systems in \(\mathbb {R}^4\). Applications ⋮ Morse index and stability of elliptic Lagrangian solutions in the planar three-body problem ⋮ Equivalence of linear stabilities of elliptic triangle solutions of the planar charged and classical three-body problems

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