Resonant excitation of density waves in Saturn's rings : The effect of spatial inhomogeneity

Planetary and Space Science

Volumn 45, Issue 6, 1997, Pages 627-636

  Griv, Evgeny ^a,c   Yuan, Chi ^a   Chiueh, Tzihong ^b  

^a INSTITUTE OF ASTRONOMY AND ASTROPHYSICS   (Taiwan)

^b NATIONAL CENTRAL UNIVERSITY   (Taiwan)

^c BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002172545     PISSN: 00320633     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0032-0633(96)00141-9     Document Type: Article

References (45)

1. Alexandrov, A. F., Bogdankevich, L. S. and Rukhadze, A. A. (1984) Principles of Plasma Electrodynamics. Springer, Berlin.
2. Bertin, G. (1980) On the density wave theory for normal spiral galaxies. Phys. Rep. 61, 1-69.
3. Bertin, G. and Mark, J. W.-K. (1978) Density wave theory for spiral galaxies : the regime of finite spiral arm inclination in stellar dynamics. Astron. Astrophys. 64, 389-397.
4. Binney, J. and Tremaine, S. (1987) Galactic Dynamics. Princeton University Press, Princeton.
5. Chen, F. F. (1984) Plasma Physics and Controlled Fusion, Vol. 1. Plenum, New York.
6. Davidson, R. C. (1992) Physics of Nonneutral Plasmas. Addison-Wesley, Redwood City, California.
7. Esposito, L. W. (1986) Structure and evolution of Saturn's rings. Icarus 67, 345-357.
8. Fridman, A. M. and Polyachenko, V. L. (1984) Physics of Gravitating Systems, Vols 1 and 2. Springer, New York.
9. Ginzburg, I. F., Polyachenko, V. L. and Fridman, A. M. (1972) Ring stability of Saturn. Soviet Astron. 15, 643-645.
10. Goldreich, P. and Tremaine, S. (1978) The formation of the Cassini division in Saturn's rings. Icarus 34, 240-253.
11. Goldreich, P. and Tremaine, S. (1982) The dynamics of planetary rings. Ann. Rev. Astron. Astrophys. 20, 249-283.
12. Griv, E. (1996) Resonant excitation of density waves in Saturn's rings. Planet. Space Sci. 44, 579-589 (Paper I).
13. Griv, E. and Chiueh, T. (1996) Secular instability of Saturn's rings. Astron. Astrophys. 311, 1033-1042.
14. Griv, E. and Peter, W. (1996a) Stability of the stellar disks of flat galaxies. I. A collisionless, homogeneous system. Astrophys. J. 469, 84-98.
15. Griv, E. and Peter, W. (1996b) Stability of the stellar disks of flat galaxies. III. The effect of collisions. Astrophys. J. 469, 103-112.
16. Griv, E. and Yuan, C. (1996) Resonant excitation of density waves in Saturn's rings : the effect of interparticle collisions. Planet. Space Sci. 44, 1185-1190 (Paper II).
17. Griv, E., Chiueh, T. and Peter, W. (1994) The weakly nonlinear theory of density waves in a stellar disk. Physica A 205, 299-306.
18. Grivnev, E. M. (1988) Galactic star orbits in the post-epicyclic approximation. Soviet Astron. 32, 139-144.
19. Hohl, F. (1978) Three-dimensional galaxy simulations. Astron. J. 83, 768-778.
20. Krall, N. A. (1968) Drift waves. In Advances in Plasma Physics, eds A. Simon and W. B. Thompson, Vol. 1, pp. 153-197. Interscience, New York.
21. Krall, N. A. and Rosenbluth, M. N. (1963) Low-frequency stability of a nonuniform plasma. Physics Fluids 6, 254-265.
22. Krall, N. A. and Trivelpiece, A. W. (1986) Principles of Plasma Physics. San Francisco Press, San Francisco.
23. Lane, A. L., Hord, C. W., West, R. A., Esposito, L. W., Coffeen, D. L., Sato, M., Simmons, K. E., Pomphrey, R. B. and Morris, R. B. (1982) Preliminary results in Saturn, Titan and the rings. Science 215, 537-543.
24. Lifshitz, E. M. and Pitaevskii, L. P. (1981) Physical Kinetics. Pergamon Press, Oxford.
25. Lin, C. C. and Lau, Y. Y. (1979) Density wave theory of spiral structure of galaxies. Stud. Appl. Math. 60, 97-163.
26. Lin, C. C. and Shu, F. H. (1966) On the spiral structure of disk galaxies. II. Outline of a theory of density waves. Proc. Natn. Acad. Sci. 55, 229-234.
27. Lin, C. C., Yuan, C. and Shu, F. H. (1969) On the spiral structure of disk galaxies. III. Comparison with observations. Astrophys. J. 155, 721-745.
28. Lissauer, J. J. (1985) Bending waves and the structure of Saturn's rings. Icarus 62, 433-447.
29. Lynden-Bell, D. and Kalnajs, A. J. (1972) On the generating mechanism of spiral structure. Mon. Not. R. Astron. Soc. 157, 1-30.
30. Mark, J. W.-K. (1971) The spiral wave of our Galaxy near inner Lindblad resonance. Proc. Natn. Acad. Sci. 68, 2095-2098.
31. Mark, J. W.-K. (1974) On the density waves in galaxies. I. Source terms and action conservation. Astrophys. J. 193, 539-559.
32. Meyer-Vernet, N. and Sicardy, B. (1987) On the physics of resonant disk-satellite interaction. Icarus 69, 157-175.
33. Morozov, A. G. (1980) On the stability of an inhomogeneous disk of stars. Soviet Astron. 24, 391-394.
34. Morozov, A. G. (1981a) On the mass ratio of the galactic halo and disk. Soviet Astron. 25, 421-426.
35. Morozov, A. G. (1981b) Constraints on the radial-velocity dispersion of stars in the disk of a flat galaxy. Soviet Astron. Lett. 7, 109-111.
36. Salo, H. (1995) Simulations of dense planetary rings. III. Self-gravitating identical particles. Icarus 117, 287-312.
37. Schmit, U. and Tscharnuter, W. M. (1995) A fluid dynamical treatment of Saturn's B-ring. Icarus 115, 304-319.
38. Shu, F. H. (1970) On the density-wave theory of galactic spirals. II. The propagation of the density of wave action. Astrophys. J. 160, 99-112.
39. Shu, F. H. and Stewart, G. R. (1985) The collisional dynamics of particulate disk. Icarus 62, 360-383.
40. Shu, F. H., Cuzzi, J. N. and Lissauer, J. J. (1983) Bending waves in Saturn's rings. Icarus 53, 185-206.
41. Sterzik, M. F., Herold, H., Ruder, H. and Willerding, E. (1995) Local particle simulations of viscous selfgravitating disk. Planet. Space Sci. 43, 259-269.
42. Toomre, A. (1964) On the gravitational stability of a disk of stars. Astrophys. J. 139, 1217-1238.
43. Toomre, A. (1977) Theories of spiral structure. Ann. Rev. Astron. Astrophys. 15, 437-478.
44. Vandervoort, P. O. (1970) Density waves in a highly flattened, rapidly rotating galaxy. Astrophys. J. 161, 87-102.
45. Willerding, E. (1992) Secular ring instability in the protoplanetary accretion disk. Earth, Moon, and Planets 56, 173-192.