The Orbital Behavior at the Neighborhood of Stable Periodic Orbits in a 3D Galactic Potential

Statistics – Applications

Scientific paper

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Scientific paper

In this paper we study the structure of invariant tori at the neighborhood of stable periodic orbits in a Hamiltonian system with three degrees of freedom of galactic type. The system we used for our applications rotates around its z-axis with angular velocity Ωb. The Potential of the system in Cartesian coordinates is:

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