There is a torus shaped ring around a planet which gradually condenses to a planar ring (cont)?
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Does the ring move: a. towards the planet b. away from the planet c. stays in the same relative position to the planet d. I should have asked the question in the Physics section PS. A torus is a big donut shape of debris: http://groups.csail.mit.edu/graphics/classes/6.838/F01/lectures/SmoothSurfaces/torus.gif A planar ring would be like Saturn's: http://www.saskschools.ca/~gregory/space/planets/saturn81.jpg
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Answer:
I would have to say that it moves towards the planet. Planetary rings become planar due to inelastic collisions between the ring particles. This would result in a loss of kinetic energy (i.e. velocity) of these particles, causing them to drop into a lower orbit.
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Other answers
There are two boundaries at work in planar ring systems. One, the outside edge of the rings, is the point where a large moon will break apart due to tidal forces and provide more debris for the rings. The second is the inside edge where the planet's atmosphere is thick enough to cause particles from the rings to slow down and de-orbit. Ring-rocks will fall out of the ring and into the planet at that point. Guess what? Saturn's ring system completely fills the space between these two boundaries. No ring system can move outside these boundaries. So C is the correct answer. So while any individual piece of ring rock is slowly jostling its way to the planet, the ring system itself can not move outside the two boundaries outlined above.
Owl Eye
Hello Frst Grader! Nice question. d, you should post in the physics section and get more responses, I guess. Anyhoo, if the "torus shaped ring gradually condenses to a planar ring", then it would flatten out, right? If it flattens out, then it, err, hmmm, well, I guess it would be stretched towards the planet, because of gravity, no?
Koshka
In an ideal Euclidean geometry, it would be C. In reality, it's A, for the reason phoenixshade said.
Alexis
that depends entirely upon the debris in question. If the debris is moving too fast, or the planet somehow loses mass, then the debris will slowly move out into space. If it is moving too slowly or the planet gains enough mass, the debris will move towards the planet. Often both cases occur in any ring, as bits of the stuff, due to collisions and the like, leave geostationary orbit above the planet and move either in or out.
Five Knot
a
Matt
stays in same spot
snea l
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