Orbits of orbiting matter around Saturn

What are the orbits taken by Saturn's moons and ice matter in the
rings moving around Saturn? Does each particle desribe an elliptic
orbit? Is apogee/perigee reached in each of the bands A,B,C separately
or across the bands? Do they obey inverse square law of Newtonian
gravity? What clues have probes like Cassini given?

Corrosponding to Two body and Three body problems and Lagrange points
L4,L5 .. are there theoretical models developed to simulate
distributed matter moving en masse the way it does in the thin disk?

If the questions are too many, please give a website refernce that
addresses some of the above. Thanks in advance.