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Problem 8. A satellite is in a circular orbit of radius R around the Earth. You may assume the mass of the Earth is much greater than the mass of

the satellite so that the Earth is effectively stationary. Suppose that the satellite is moved to a circular orbit with radius 4R. (a) By what factor does the gravitational force exerted on it change? (b) By what factor does the speed of the satellite change? (c) By what factor does its period change? (d) By what factor does the energy of the system change?

Fig: 1