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The mass of earth is and the mass of the moon is Assuming all of the mass of each is at its center, find the center of mass of the earth-moon system, if their centers are apart. Compare this position with the radius of earth, which is
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and the mass of the moon is 
Assuming all of the mass of each is at its center, find the center of mass of the earth-moon system, if their centers are 
apart. Compare this position with the radius of earth, which is 