Separable and Partially Separable Systems in the Light of the Inverse Problem of Dynamics

Details Separable and Partially Separable Systems in the Light of the Inverse Problem of Dynamics Separable and Partially Separable Systems in the Light of the Inverse Problem of Dynamics

Mar 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995cemda..63...41p&link_type=abstract

Celestial Mechanics & Dynamical Astronomy, Volume 63, Issue 1, pp.41-57

Astronomy and Astrophysics

Astronomy

6

Inverse Problem Of Dynamics, Separability, Compatibility

Scientific paper

Using a generalization of Joukovsky's formula, we determine three-dimensional families of curves that are orbits only in separable potentials and we note the importance of ‘iso-energetic’ families of orbits. We also obtain more general families that are orbits of partially separable systems and we examine from this point of view the classical curvilinear coordinate systems.

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