Keplers third law of planetary motion states that P2 = kd3, where P represents the time
Chapter 3, Problem 58(choose chapter or problem)
Keplers third law of planetary motion states that P2 = kd3, where P represents the time, in earth days, it takes a planet to orbit the sun once, d is the planets average distance, in miles, from the sun, and k is a constant.12 (a) If k = 1.65864 1019, write P as a function of d. (b) Mercury is approximately 36 million miles from the sun. How long does it take Mercury to orbit the sun? (c) Find P(d). What does the sign of the derivative tell us about the time it takes a planet to orbit the sun? Why does this make sense from a practical viewpoint?
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