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2 - An Introduction to Planetary Ring Dynamics

from I - Introductory Material

Published online by Cambridge University Press:  26 February 2018

By
M. M. Hedman
Edited by
Matthew S. Tiscareno  and
Carl D. Murray
M. M. Hedman
Affiliation:
University of Idaho Moscow, Idaho, USA
Matthew S. Tiscareno
Affiliation:
SETI Institute, California
Carl D. Murray
Affiliation:
Queen Mary University of London
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Type
Chapter
Information
Planetary Ring Systems
Properties, Structure, and Evolution
 , pp. 30 - 48
Publisher: Cambridge University Press
Print publication year: 2018

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References

Borderies, N., Goldreich, P., and Tremaine, S. 1982. Sharp edges of planetary rings. Nature, 299, 209-211.CrossRefGoogle Scholar
Borderies, N., Goldreich, P., and Tremaine, S. 1989. The formation of sharp edges in planetary rings by nearby satellites. Icarus, 80, 344-360.CrossRefGoogle Scholar
Bridges, F. G., Hatzes, A., and Lin, D. N. C. 1984. Structure, stability and evolution of Saturn's rings. Nature, 309, 333-335.CrossRefGoogle Scholar
Burns, J. A. 1976. Elementary derivation of the perturbation equations of celestial mechanics. American Journal of Physics, 44, 944—949.CrossRefGoogle Scholar
Burns, J. A. 1977. Erratum: “An elementary derivation of the perturbation equations of celestial mechanics”. American Journal of Physics, 45, 1230.CrossRefGoogle Scholar
Burns, J. A., Lamy, P. L., and Soter, S. 1979. Radiation forces on small particles in the solar system. Icarus, 40, 1—48.CrossRefGoogle Scholar
Burns, J. A., Showalter, M. R., Hamilton, D. P., et al. 1999. The formation of Jupiter's faint rings. Science, 284, 1146.CrossRefGoogle ScholarPubMed
Charnoz, S., Brahic, A., Thomas, P. C., and Porco, C. C. 2007. The equatorial ridges of Pan and Atlas: Terminal accretionary ornaments? Science, 318, 1622.CrossRefGoogle ScholarPubMed
Charnoz, S., Dones, L., Esposito, L. W., Estrada, P. R., and Hedman, M. M. 2009. Origin and evolution of Saturn's ring system. Page 537 of: Dougherty, M. K., Esposito, L. W., and Krimigis, S. M. (eds.), Saturn from Cassini-Huygens. Springer.Google Scholar
Colwell, J. E., Esposito, L. W., Sremčević, M., Stewart, G. R., and McClintock, W. E. 2007. Self-gravity wakes and radial structure of Saturn's Bring. Icarus, 190, 127-144.CrossRefGoogle Scholar
Goldreich, P., and Tremaine, S. 1982. The dynamics of planetary rings. Ann. Rev. Astr. & Astrop., 20, 249-283.CrossRefGoogle Scholar
Hahn, J. M., Spitale, J. N., and Porco, C. C. 2009. Dynamics of the sharp edges of broad planetary rings. ApJ, 699, 686-710.CrossRefGoogle Scholar
Hamilton, D. P. 1993. Motion of dust in a planetary magnetosphere —Orbit-averaged equations for oblateness, electromagnetic, and radiation forces with application to Saturn's E ring. Icarus, 101, 244-264.CrossRefGoogle Scholar
Hedman, M. M. 2015. Why are dense planetary rings only found between 8 AU and 20 AU? ApJ, 801, L33.CrossRefGoogle Scholar
Hedman, M. M., Burns, J. A., Tiscareno, M. S., etal. 2007. The source of Saturn's G ring. Science, 317, 653.CrossRefGoogle ScholarPubMed
Hedman, M. M., Burns, J. A., Tiscareno, M. S., and Porco, C. C. 2009. Organizing some very tenuous things: Resonant structures in Saturn's faint rings. Icarus, 202, 260—279.CrossRefGoogle Scholar
Hedman, M. M., Burt, J. A., Burns, J. A., and Tiscareno, M. S. 2010. The shape and dynamics of a heliotropic dusty ringlet in the Cassini Division. Icarus, 210, 284-297.CrossRefGoogle Scholar
Hedman, M. M., Burns, J. A., Hamilton, D. P., and Showalter, M. R. 2012. The three-dimensional structure of Saturn's E ring. Icarus, 217, 322-338.CrossRefGoogle Scholar
Hedman, M. M., Burns, J. A., Hamilton, D. P., and Showalter, M. R. 2013. Of horseshoes and heliotropes: Dynamics of dust in the Encke Gap. Icarus, 223, 252-276.CrossRefGoogle Scholar
Hedman, M. M., Nicholson, P. D., and Salo, H. 2014. Exploring Over-stabilities in Saturn's A ring using two stellar occultations. AJ, 148, 15.CrossRefGoogle Scholar
Julian, W. H., and Toomre, A. 1966. Non-axisymmetric responses of differentially rotating disks of stars. ApJ, 146, 810.CrossRefGoogle Scholar
Murray, C. D., and Dermott, S. F. 1999. Solar System Dynamics. Cambridge.Google Scholar
Nicholson, P. D., French, R. G., Hedman, M. M., Marouf, E. A., and Colwell, J. E. 2014. Noncircular features in Saturn's rings I: The edge of the Bring. Icarus, 227(Jan.), 152-175.
Porco, C. C., Thomas, P. C., Weiss, J. W., and Richardson, D. C. 2007. Saturn's small inner satellites: Clues to their origins. Science, 318, 1602.CrossRefGoogle ScholarPubMed
Rein, H., and Latter, H. N. 2013. Large-scale N-body simulations of the viscous overstability in Saturn's rings. MNRAS, 431, 145—158.CrossRefGoogle Scholar
Robbins, S. J., Stewart, G. R., Lewis, M. C., Colwell, J. E., and Sremčević, M. 2010. Estimating the masses of Saturn's A and Brings from high-optical depth N-body simulations and stellar occultations. Icarus, 206, 431-445.CrossRefGoogle Scholar
Salo, H. 2001. Numerical simulations of the collisional dynamics of planetary rings. Page 330 of: Poschel, T., and Luding, S. (eds.), Granular Gases. Lecture Notes in Physics, Berlin Springer Verlag, vol. 564.CrossRefGoogle Scholar
Salo, H., Karjalainen, R., and French, R. G. 2004. Photometric modeling of Saturn's rings. II. Azimuthal asymmetry in reflected and transmitted light. Icarus, 170, 70-90.CrossRefGoogle Scholar
Schmidt, J., Ohtsuki, K., Rappaport, N., Salo, H., and Spahn, F. 2009. Dynamics of Saturn's dense rings. Page 413 of: Dougherty, M. K., Esposito, L. W., and Krimigis, S. M. (eds.), Saturn from Cassini-Huygens. Springer.Google Scholar
Shu, F. H. 1984. Waves in planetary rings. Pages 513—561 of: Green-berg, R., and Brahic, A. (eds.), Planetary Rings. University of Arizona.Google Scholar
Spitale, J. N., and Porco, C. C. 2009. Time variability in the outer edge of Saturn's A-ring revealed by Cassini imaging. AJ, 138, 1520-1528.CrossRefGoogle Scholar
Spitale, J. N., and Porco, C. C. 2010. Detection of free unstable modes and massive bodies in Saturn's outer Bring. AJ, 140, 1747-1757.CrossRefGoogle Scholar
Thomson, F. S., Marouf, E. A., Tyler, G. L., French, R. G., and Rappa-port, N. J. 2007. Periodic micro structure in Saturn's rings A and B. GRL, 34, 24203.CrossRefGoogle Scholar
Tiscareno, M. S., Burns, J. A., Nicholson, P. D., Hedman, M. M., and Porco, C. C. 2007. Cassini imaging of Saturn's rings. II. A wavelet technique for analysis of density waves and other radial structure in the rings. Icarus, 189, 14-34.Google Scholar
Tiscareno, M. S., Hedman, M. M., Burns, J. A., and Castillo-Rogez, J. 2013. Compositions and origins of outer planet systems: Insights from the Roche critical density. ApJ, 765, L28.CrossRefGoogle Scholar
Tremaine, S. 2003. On the origin of irregular structure in Saturn's rings. AJ, 125, 894-901.CrossRefGoogle Scholar
Weiss, J. W., Porco, C. C., and Tiscareno, M. S. 2009. Ring edge waves and the masses of nearby satellites. AJ, 138, 272—286.CrossRefGoogle Scholar

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