Question: A satellite will travel indefinitely in a circular orbit around the earth if the normal component of its acceleration is equal to g(R / r)2

A satellite will travel indefinitely in a circular orbit around the earth if the normal component of its acceleration is equal to g(R / r)2 , where g = 9.81 m/s2 , R = radius of the earth = 6370 km, and r = distance from the center of the earth to the satellite. Assuming that the orbit of the moon is a circle of radius 384 × 103 km , determine the speed of the moon relative to the earth.

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