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F. Spahn (Univ. Potsdam), M. Sremcevic (Univ. Belgrade)
We extend the Markov-model of gravitational scattering by moonlets in planetary rings to viscous diffusion. The latter process counteracts the generation of structures due to the larger ring-boulder. As a result two types of steady state patterns evolve: \, i) a ``propeller'' shaped structure for moonlets D < 1km in size \, ii) a circumferential gap (+ringlet) for larger moonlets. \, The radial and the azimuthal extent scale with the Diameter D of the moonlet [radial: \propto D (for D < 3 km in diameter) or \propto D2 (for D> 3 km); azimuthal: \propto D^3/\nu, \, with \nu - kinematic viscosity]. In this way the size distribution and also the viscous properties of the ring matter could be probed by the high resolution images of the Cassini spacecraft in the near future.
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