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Separable and partially separable systems in the light of the inverse problem of dynamics

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Abstract

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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  1. Observatoire de Besançon, 25000, France

    FranÇois Puel

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  1. FranÇois Puel
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Puel, F. Separable and partially separable systems in the light of the inverse problem of dynamics. Celestial Mech Dyn Astr 63, 41–57 (1995). https://doi.org/10.1007/BF00691914

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  • DOI: https://doi.org/10.1007/BF00691914

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