Homework 4 handout - HW4 Due Thursday February 20 If words are required in an answer then the answer should be expressed in a complete sentence If a

Homework 4 handout - HW4 Due Thursday February 20 If words...

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HW4: Due Thursday February 20 If words are required in an answer, then the answer should be expressed in a complete sentence. If a number is required in an answer, then the number should have the correct number of significant figures, and should include units. If you are asked a multiple choice question, you are required to indicate all correct answers (and there may be more than one). Remember to show all work, and be legible and clear. Your homework should be returned on a separate piece of paper. 1. You can do comparative planetology armed only with telescopes and an understanding of gravity. a) The satellite Amalthea orbits Jupiter at just about the same distance in kilometers at which Mimas orbits Saturn. Yet Mimas take almost twice as long to orbit. What can you deduce from this difference, qualitatively? ( Hint: Think about Newton’s generalization of Kepler’s third law. ) b) Jupiter and Saturn are not very different in radius. When you combine this information with your answer to part (a), what can you conclude? 2. Comet Hyakutake (visible in 1996) has an orbital period of 65,000 years. Comet Hale-Bopp (visible 1997–1998) has an orbital period of 4,000 years. What dominates the determination of their respective orbital periods?
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