Theoretical periodic orbits in 3-dimensional Hamiltonians

DOI10.1016/0167-2789(84)90442-1zbMath0579.70022OpenAlexW1970284704MaRDI QIDQ1067422

B. George

Publication date: 1984

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(84)90442-1

zbMATH Keywords

periodic orbitsintegrable systemsintegrals of motionsurface of sectionalmost periodic orbitsapproximate integralcharacteristic exponents of Poincaréconservative systems of 3 degrees of freedomresonant systems with small energy

Mathematics Subject Classification ID

Three-body problems (70F07) Stability for nonlinear problems in mechanics (70K20) Hamilton's equations (70H05)

Related Items (2)

A review of the ``Third integral ⋮ Local analysis of formal stability and existence of fixed points in 4d symplectic mappings

Cites Work

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• Invariant surfaces and orbital behaviour in dynamical systems of 3 degrees of freedom. II
• Introduction to the paper by A.S. Bakaj
• Resonant excitation of motion perpendicular to galactic planes
• Families of periodic orbits in the three-body problem
• Families of periodic orbits in the planar three-body problem
• The stability of periodic orbits in the three-body problem

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