Separable and partially separable systems in the light of the inverse problem of dynamics |
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Authors: | FranÇois Puel |
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Institution: | (1) Observatoire de Besançon, 25000, France |
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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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Keywords: | Inverse problem of dynamics separability compatibility |
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