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8. (3 marks) Start with Newton's Law of Gravity (FG = G"22), prove Kepler's Law of Periods (T? « r3, where T represents
Posted: Mon Jul 18, 2022 5:47 am
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- 8 3 Marks Start With Newton S Law Of Gravity Fg G 22 Prove Kepler S Law Of Periods T R3 Where T Represents 1 (54.6 KiB) Viewed 45 times
8. (3 marks) Start with Newton's Law of Gravity (FG = G"22), prove Kepler's Law of Periods (T? « r3, where T represents the period of a planet, and r represents the radius of the orbit of the planet) for the case of a planet on a circular orbit. Hint 1: centripetal force needed for an object in circular motion is Fe = m where v is the speed of the circular motion; Hint 2: in a uniform circular motion, period is directly related to the circumference of the circle and the speed of motion.