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EXERCISE 34
In the spirit of Exercise 33 above, let's explain another one of Kepler's empirical laws using physical and mathematical theory. Explain how Kepler's third law is a consequence of Newton's law of gravity applied to orbital motion. Two points are key: first, in an orbit, the gravitational acceleration must equal the centripetal acceleration at any point in time; second, the period of an orbit is the distance traveled in one orbit divided by the orbital velocity. |