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Some Peculiar Features In Saturn’s Rings. Quentin Donnellan. “In the universe there are spheres and there are discs; given the correct mechanisms one can become the other” Carolyn Porco. Basics…. 99.9% pure water ice 3x10 19 kg 5-30 m thick. > 5 cm. Cassini radio image. large. < 5 cm.
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Some Peculiar Features In Saturn’s Rings Quentin Donnellan
“In the universe there are spheres and there are discs; given the correct mechanisms one can become the other” Carolyn Porco
Basics… 99.9% pure water ice 3x1019 kg 5-30 m thick > 5 cm Cassini radio image large < 5 cm
Particle size Roche limit Particles over a certain size will be torn apart by tidal forces Accretion discs inside the Roche limit should not coalesce beyond a certain size
Dominant features *Titan
Dominant features *Mimas
Dominant Features Daphnis Pan
Moons carve out gaps/features Rings are Keplerian…
Teamwork F-Ring Prometheus Pandora
Some are not big enough… Moonlets embedded in the rings create keplerian wakes
Density Waves In the 1960’s astronomers theorized the origins of spiral arms in galaxies as artifacts of “density waves”
Density Waves “Traffic Jams” of material increase the local density of the galactic disc and increase the local rate of star formation
Well, the rings around Saturn are essentially just a “disc”…
Density Waves at Saturn Analogous to spiral arms of galaxies, just much more tightly wound, caused by resonance excitation by moons
Also bending… bending wave (Vertical undulations) Density wave 2004, A ring
So we can explain all of the peculiarities in the rings by the tugging of moons… … right?
Viscosity B ring: very dense We would expect such a high viscosity to dampen any waves excited into this ring
Viscosity But the viscosity of the ring is such that the random motions of the particles in the ring actually amplify waves
The rings, much like guitar strings, have natural modes which can become self-excited and amplified due to “viscous overstability” http://www.youtube.com/watch?v=tA2eqTZijwI
Vertical Structures 1-3 km in height
Complicated system… So the rings are very complicated Waves induced by moons Paths cut out by moons Material dragged up and down by moons Waves induced by the rings themselves
Extensions Can we treat all disc structures similarly?