Astronomy and Astrophysics – Astrophysics
Scientific paper
2003-09-08
Astrophys.J.599:675-685,2003
Astronomy and Astrophysics
Astrophysics
Final revised version, ApJ, in press
Scientific paper
10.1086/379151
Narrow planetary rings are eccentric and inclined. Particles within a given ring must therefore share the same pericenter and node. We solve for the three-dimensional geometries and mass distributions that enable the Uranian Alpha and Beta rings, and the Saturnian Maxwell and Colombo (Titan) rings, to maintain simultaneous apsidal and nodal lock. Ring self-gravity, interparticle collisions, and the quadrupole field of the host planet balance each other to achieve this equilibrium. We prove that such an equilibrium is linearly stable. Predictions for the Saturnian ringlets to be tested by the Cassini spacecraft include: (1) ringlet masses are of order 1e19 g, (2) surface mass densities should increase from ring midline to ring edges, and (3) rings are vertically warped such that the fractional variation of inclination across the ring is of order 10%. Analogous predictions are made for the Uranian rings. Simultaneous apsidal and nodal locking forces the narrowest portion of the ring--its ``pinch,'' where self-gravitational and collisional forces are strongest--to circulate relative to the node, and introduces previously unrecognized time-varying forces perpendicular to the planet's equator plane. We speculate that such periodic stressing might drive kilometer-scale bending waves at a frequency twice that of apsidal precession. Such flexing might be observed over a few weeks by Cassini.
Chiang Eugene I.
Culter Christopher J.
No associations
LandOfFree
Three-Dimensional Dynamics of Narrow Planetary Rings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Three-Dimensional Dynamics of Narrow Planetary Rings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Three-Dimensional Dynamics of Narrow Planetary Rings will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-389994