Hydrodynamics of Saturn’s dense rings
- The space missions Voyager and Cassini together with earthbound observations re-vealed a wealth of structures in Saturn’s rings. There are, for example, waves being excited at ring positions which are in orbital resonance with Saturn’s moons. Other structures can be assigned to embedded moons like empty gaps, moon induced wakes or S-shaped propeller features. Further-more, irregular radial structures are observed in the range from 10 meters until kilometers. Here some of these structures will be discussed in the frame of hydrodynamical modeling of Saturn’s dense rings. For this purpose we will characterize the physical properties of the ring particle ensemble by mean field quantities and point to the special behavior of the transport coefficients. We show that unperturbed rings can become unstable and how diffusion acts in the rings. Additionally, the alternative streamline formalism is introduced to describe perturbed regions of dense rings with applications to the wake damping and the dispersion relation of the density waves.
Author details: | Martin SeißORCiDGND, Frank SpahnORCiDGND |
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URN: | urn:nbn:de:kobv:517-opus4-413139 |
DOI: | https://doi.org/10.25932/publishup-41313 |
Title of parent work (English): | Postprints der Universität Potsdam : Postprint Mathematisch Naturwissenschaftliche Reihe |
Publication series (Volume number): | Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe (574) |
Publication type: | Postprint |
Language: | English |
Date of first publication: | 2019/02/05 |
Publication year: | 2011 |
Publishing institution: | Universität Potsdam |
Release date: | 2019/02/06 |
Tag: | granular gas; hydrodynamics; instabilities; planetary rings |
Number of pages: | 28 |
First page: | 191 |
Last Page: | 218 |
Source: | Mathematical Modelling of Natural Phenomena 6 (2011) 4, pp. 191-218 DOI: 10.1051/mmnp/20116409 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät |
DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
Peer review: | Referiert |
Publishing method: | Open Access |
Grantor: | Cambridge University Press (CUP) |
License (German): | Keine öffentliche Lizenz: Unter Urheberrechtsschutz |