# If a ring particle survived for the age of the solar system. how many collisions would it undergo?

1. Collisions in Saturn’s Rings : Each of the particles in the densest part of Saturn’s rings collides with another particle about every 5 hours. If a ring particle survived for the age of the solar system, how many collisions would it undergo ? 2. Orbital Resonances. Using data in Appendix E.2, identify the orbital resonance relationship between Saturn’s moon Titan and Hyperion. [Recall that an orbital resonance means that if one moon’s period times X (where X is an interger) equals the other moon’s period times Y (where Y is an interger)—then the moons are said to be in an X :Y resonance. For example, if the orbital period of one moon were 1.5 times the orbital period of another moon, 1.5 is 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 had the planet Jupiter. Describe at least three ways in which a Jupiter-less solar system would be different from our current solar system. In each case, CLEARLY EXPLAIN WHY 4. Where comets come from: Explain in your own words how and why there are two different reservoirs of comets. Be sure to discuss where the two groups of comets formed and what kinds of orbits they travel on.