ω-Index Theory and Linear Stability of Elliptic Lagrangian Solutions of the Classical Three-Body Problem

DOI10.1515/ANS-2012-0409zbMath1336.70026OpenAlexW2508029646MaRDI QIDQ4898424

Long, Yiming

Publication date: 2 January 2013

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2012-0409

Mathematics Subject Classification ID

Three-body problems (70F07) Stability of solutions to ordinary differential equations (34D20) Index theory and related fixed-point theorems on manifolds (58J20) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (2)

A continuum of periodic solutions to the planar four-body problem with two pairs of equal masses ⋮ Star pentagon and many stable choreographic solutions of the Newtonian 4-body problem

Cites Work

• A new obstruction to embedding Lagrangian tori
• Topological structures of \(\omega\)-subsets in symplectic groups
• Bott formula of the Maslov-type index theory
• A minimizing property of Lagrangian solutions

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