## Physics of Planetary Rings: Celestial Mechanics of Continuous MediaPhysics of Planetary Rings describes striking structures of the planetary rings of Saturn, Uranus, Jupiter, and Neptune: Narrow ringlets, spiral waves, and a chain of clumps. The author has contributed essential ideas to the full understanding of planetary rings via the stability analysis of dynamical systems. The combination of a high-quality description, the set of interesting illustrations, as well as the fascinating and natural presentation will make this book of considerable interest to astronomers, physicists, and mathematicians as well as students. There is no competing text for this book so far. |

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### Contents

1 | |

Observational Data | 21 |

Celestial Mechanics Minimum 59 | 58 |

Elementary Particle Dynamics I Rigid Body Collisions | 81 |

Elementary Particle Dynamics II Ring Cosmogony | 95 |

Elementary Particle Dynamics III Wave Photometric | 115 |

Collective Dynamics of Disc Particles I Formalism | 131 |

Collective Dynamics of Disc Particles | 146 |

Space Studies of the Outer Planets 297 | 296 |

Conclusion | 313 |

The Possibility of Studying the Dynamics | 315 |

SmallAmplitude Waves in a Disc | 341 |

Derivation of the Linearised Equations for Oscillations | 358 |

Evaluating the Gravitational Potential | 371 |

A Drift Mechanism for the Formation | 379 |

Statement of the Problem | 385 |

Stability Analysis | 153 |

Appendices | 155 |

Resonance Effects in Planetary Rings I Spiral Waves 189 | 188 |

Formation and Stability of the Uranian Rings | 213 |

Origin Dynamics and Stability of the Neptunian Rings | 253 |

Selforganisation of the Solar System | 285 |

Absence of Averaged Radial Mass Flux | 392 |

Evolution of the Surface Density of a Disc | 400 |

Some Additional Remarks | 406 |

References | 418 |

### Other editions - View all

Physics of Planetary Rings: Celestial Mechanics of Continuous Media Alexei M. Fridman,Nikolai N. Gorkavyi No preview available - 2014 |

Physics of Planetary Rings: Celestial Mechanics of Continuous Media Alexei M. Fridman,Nikolai N. Gorkavyi No preview available - 2010 |

### Common terms and phrases

accretion accretion discs aerodynamic friction angular momentum apocentre azimuthal ballistic drift break-up calculations capture Cassini Division centre characteristic coefficient collisional collisions condition Cordelia corresponds Cuzzi deceleration decreases differentially rotating diffusion instability distance drift velocity dynamics eccentricity ejecta elliptical energy epicyclic epiton equilibrium follows formation fragments frame of reference frequency function g/cm Goldreich and Tremaine Gor’kavyi and Taidakova gravitational field increases inelastic inelastic collisions inner Lindblad resonance interaction large particles Let us consider major semi-axis mass Neptunian Neptunian arcs Neptunian rings observed optical depth orbit orbital revolution oscillations outer parameters perturbations planet planetary rings planetological positive drift proto-planetary radial radius region regolith result revolutions ring particles ring zone ringlets Safronov Saturn Saturnian rings Sect self-gravitating shepherd satellites show in Fig solar system spacecraft specific angular momentum spiral wave stable structure surface density Taidakova 1993 trajectories Uranian rings Uranus viscosity vortex Voyager-2 wavelength