Do we know how much Saturn's rings move?

Not talking about their changing appearance due to Earth’s and Saturn’s motions – I mean their orientation, relative to distant stars. Have we detected any motion in the plane of the rings? For that matter, how big would a change have to be to have been detected?

Meeus gives formulas for the rings’ orientation over time, but they’re relative to the changing ecliptic and equinox. He doesn’t say whether the orientation changes relative to fixed stars, or whether we know if it does. Does Saturn’s axis precess like Earth’s, and its rings with it?

Saturn’s rotational axis is apparently changing (slowly)

I would expect the ring orientation to be tightly coupled with the planet’s, but I could be wrong

The rings are tightly coupled to Saturn’s axis due to the gravitational influence of the equatorial bulge (i.e., Saturn is oblate because it rotates around its axis). Saturn does precess but it takes around a million years (as compared to Earth’s 26,000 years).

The moons disturb the rings slightly but not enough to change the overall orientation.

Thanks - my intuition was that a planet’s tendency to make objects orbiting it orbit in its equatorial plane would be proportional to oblateness.

And Saturn is the most oblate of the planets. Even aside from the rings, it’s oblate enough to be visible by eye in a photograph of the planet.

Hey, cut the oblateness shaming!

Is that because of it’s extremely low density?

And relatively rapid rotation.

This is the most important factor in its oblateness. Its day is only about 10 and a half hours, second fastest of all the planets. Only Jupiter has a shorter day (just under 10 hours) and it’s visibly oblate too.

Compare that to the Earth, which has the shortest day among the terrestrial planets. The Earth is somewhat oblate, but to the human eye, it looks perfectly round.

You URL isn’t working and I was unsuccessful in locating a working reference.

Here’s a different unofficial cite that has a bit of digested conclusions and cites some other more primary sources.

Sorry about that - I tried to trim an excessively long URL on my phone and thought I had it right.

Hope this one works

Works great. Thanks.

That’s the source I used for the “million” years, although their link didn’t work. This link does, though:

And specifically:
Imgur

α0 is essentially the longitude (on Saturn) of the Solar System’s north. And you can see that the time factor is 0.036T, where T is in centuries. And the whole thing is in degrees. So to go all the way around takes (360 / 0.036 * 100) = 1000000 years.

Or maybe 3000000 years. Apparently the alpha-zero and delta-zero are the plain old right ascension and declination on Earth’s celestial sphere. Presumably Saturn’s axis isn’t precessing around Earth’s axis – more likely around a line perpendicular to the solar system? So the per-century precession must be a third of the per-century change in right ascension, or less.

Good point. Probably more like \sqrt{(0.036 \cdot \cos{83.5})^2 +0.004^2} \approx 0.00571 \frac{deg}{century}. So 6.3M years.

Didn’t astronomers with NASA also point to tiny moonlets that “shepherded” the rings, creating the gaps and keeping the material in the rings from wandering and dissipating?

Yes.

How about moving around Saturn? I believe the rings are mostly bits of ice? If so, how long does it take a particular ice cube to orbit the planet?

Answered here.

Varies, according to the distance of the ring. Between 5 hours and 500 days. (I presume that’s Earth days, rather than Saturn days.)

That’s an amazing range! And I find it hard to image the ice zipping around a huge planet in just a few hours. If someone managed to position himself directly in the fastest ring, would it feel like being sandblasted? Or are the ice bits actually far enough apart you’d barely be hit by any of them?