Uranian ring dynamics - an analysis of multimode motions

Physics

Scientific paper

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Eccentric Orbits, Modal Response, Planetary Orbits, Uranus Rings, Elliptical Orbits, Formalism, Streamlining

Scientific paper

The dynamics of a narrow Uranian ring in the presence of several modes is presently treated by an extension of the standard streamline formalism. The ring is conceived as only self-gravitationally perturbed; this factor is shown to enforce the rigid precession of all modes. Attention is given to the response of ring width to the presence of several modes, and it is demonstrated that the m=1 response of the gamma ring can have no effect on its width. The manifest possibility of extreme cases in which the mean shape is purely elliptical, while the width is controlled by a different mode, may account for the apparent incoherence of the width-longitude relations of the narrowest Uranian rings.

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