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Planetary rings:

      With the Saturnian rings, which have been known for about four centuries, the Uranian, Jovian, and Neptunian rings form a new and interesting class of objects in the Solar System. The planetary rings are an important element in the understanding of the origin and the dynamics of such disk-shaped objects as satellite systems and planetary systems, as well as accretion and galactic disks. It is difficult to enumerate all the surprises presented by the rings. The Saturnian rings are stratified into thousands of ringlets and the Uranian rings are compressed into narrow streams, which differ from circular orbits like the wheel of an old bicycle. There are spiral waves, elliptical rings, strange interlacing of narrow ringlets, and to cap it all one has observed in the Neptunian ring system three dense, bright arcs - like bunches of sausages on a transparent string. For celestial mechanics this is a spectacle as unnatural as a bear's tooth in the necklace of the English queen.
      In the dynamics of planetary rings the physics of collective interactions was supplemented by taking collisions between particles into account. The resonance interaction with satellites plays an important role in the dynamics and the formation of structure of the planetary rings. Results by our scientists with co-authors in area of physics of planetary rings were collected in the monograph:

Fridman, A.M. and Gorkavyi, N.N. "Physics of Planetary Rings. Celestial Mechanics of a Continuous Media". Springer-Verlag, 1999, 436 p.

      This monograph presents the first comprehensive and detailed explanation for the planetary rings of Saturn, Uranus, Jupiter, and Neptune, exploring their striking, recently discovered structures such as narrow ringlets, spiral waves, and chain of vortices. This book can be very useful now for theoretical interpretation of new observational data from long-term Cassini mission.

Physics of Planetary Rings From the publisher:

      Physics of Planetary Rings describes striking structures in the planetary rings of Saturn, Uranus, Jupiter and Neptune. In Saturn, the rings are stratified into thousands of ringlets united in a complex hierarchical structure with spiral waves and gaps; in Uranus, they are compressed into narrow streams; and in Neptune, one observes a chain of clumps. This abundance of dynamical structures is the result of unique instabilities and the resonance action of satellites. The authors have made decisive contributions to research into collisional, collective and resonance phenomena in planetary rings. They correctly predicted the existence of unknown Uranian satellites prior to the Voyager 2 fly-by. The combination of a high quality description, interesting illustrations, and a fascinating and natural presentation will make this book of great interest to a broad readership, including astronomers, physicists, mathematicians, students and amateur astronomers.

Commentaries by the experts:

"The theory of the authors applied to bodies surrounding the planet Uranus led to a remarkable new result…"
      Academician Ya.B. Zel'dovich.

"…This is clearly the second case in the history of astronomy that the orbits of new celestial bodies were predicted on the basis of theoretical calculations - 140 years after the calculations by Leverrier and Adams calculated the orbit of an unknown planet, later discovered in 1846 by Galle and called Neptune…"
      Academician V.L. Ginzburg, 2003 Nobel Laureate in Physics.

Booksellers: (see it at Barnes & Noble) (see it at Amazon) (see it at Alibris)

Other available publications:

Fridman, A.M., Gorkavyi, N.N. "Dynamics of Planetary Rings and the Prediction of New Uranian Satellites". London, Gordon & Breach Publishing Group, 1989, p.289-345.

This large review is available at Barnes & Noble.

Also new paper by N. Gorkavyi, "The Cassini mission and possible tests of theoretical models of planetary rings" for 36th Meeting of the AAS Division for Planetary Sciences, November 8-12, 2004, Louisville, KY is available here.

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