Quadratic integrals in uniformly rotating Hamiltonian systems

Astronomy and Astrophysics – Astrophysics

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Celestial Mechanics, Stellar Dynamics, Galaxy: Kinematics And Dynamics

Scientific paper

A quadratic second integral of motion is obtained for a rotating two-dimensional Hamiltonian system relaxing the assumption that the potential in the Jacobi integral should be an even function of the spatial coordinates whose origin is the axis of rotation. It is shown that the potential is in general an even function of cartesian coordinates in a new system of coordinates and is expressible in Staeckel separable form.

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