First-order resonances in three-degrees-of-freedom systems

Physics

Scientific paper

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Degrees Of Freedom, Elliptical Orbits, Hamiltonian Functions, Orbital Mechanics, Resonance, Asymptotic Methods, Celestial Mechanics, Hyperbolic Trajectories, Numerical Integration, Orbit Perturbation, Systems Stability

Scientific paper

Hamiltonian systems with three degrees of freedom which have a
resonance-ratio 1:2:ω with ω = 1, 2, 3, or 4 are studied.
The periodic orbits are determined together with their stability
characteristics. Furthermore the author studies the fundamental question
of asymptotic integrability of these systems.

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