Two-Parametric Families of Orbits and Multiseparability of Planar Potentials

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

Combining the results of the inverse problem of dynamics with the theory
of multiseparability of planar potentials, we find biparametric families
of orbits, whose existence guarantees the multiseparability of the
potential. We also study the allowed regions of the plane, where these
orbits are traced.

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