How far from the center of the Earth (in km) is the center of mass of the Earth + satellite system if the satellite has a mass of 6560 kg and is in orbit 46200 km above the surface of the Earth. The mass of the Earth is 5.98 * 10^24 kg and the radius of the Earth is 6370 km.

Answer 1

Place the center of earth at x=0

totalmass*cm=Me*0+Ms*(46200+6370)

cm= Ms/(Ms+Me) * 52570 km