Physics of Planetary Rings: Celestial Mechanics of Continuous Media

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Springer Science & Business Media, Apr 17, 2013 - Science - 437 pages
Physics 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

Introduction
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
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