1. Collisions in Saturn’s Rings : Each of the particles in thedensest part of Saturn’s rings collides with another particle aboutevery 5 hours. If a ring particle survived for the age of the solarsystem, how many collisions would it undergo ?

2. Orbital Resonances. Using data in Appendix E.2, identify theorbital resonance relationship between Saturn’s moon Titan andHyperion. [Recall that an orbital resonance means that if onemoon’s period times X (where X is an interger) equals the othermoon’s period times Y (where Y is an interger)---then the moons aresaid to be in an X :Y resonance. For example, if the orbital periodof one moon were 1.5 times the orbital period of another moon, 1.5is 3 divided by 2, and so the moons would be in a 3 to 2 (3 :2)orbital resonance.]

3. We have a Jupiter: Suppose that our Solar System never hadthe planet Jupiter. Describe at least three ways in which aJupiter-less solar system would be different from our current solarsystem. In each case, CLEARLY EXPLAIN WHY

4. Where comets come from: Explain in your own words how and whythere are two different reservoirs of comets. Be sure to discusswhere the two groups of comets formed and what kinds of orbits theytravel on.