Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...287..757s&link_type=abstract
Astronomy and Astrophysics 287, 757-760 (1994)
Astronomy and Astrophysics
Astrophysics
2
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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