Keplers Third Law states that the ratio T /a3/2 is equal to a constant C for all

Chapter 11, Problem 64

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Keplers Third Law states that the ratio T /a3/2 is equal to a constant C for all planetary orbits around the sun, where T is the period (time for a complete orbit) and a is the semimajor axis. (a) Compute C in units of days and kilometers, given that the semimajor axis of the earths orbit is 150 106 km. (b) Compute the period of Saturns orbit, given that its semimajor axis is approximately 1.43 109 km. (c) Saturns orbit has eccentricity e = 0.056. Find the perihelion and aphelion of Saturn (see Exercise 63).

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