How far was Mars from the Earth and how fast did Mars orbit the Earth-Mars barycenter?
Using Kepler’s 3rd law, scientists tell us a satellite would have to be 42,164 km away from the center of the Earth to have a geosynchronous orbit around the Earth. The point the satellite orbits is the center of the Earth, not the surface of the Earth. How far would Mars have to be from the center of the Earth to have a geosynchronous orbit around the Earth? The formula to compute this is Orbital period squared = {[(pi squared) times four] times (distance cubed)} divided by [(mass body one plus the mass of body two) times the universal gravitational constant]. You can rearrange this formula to compute radius or mass. Distance cubed = {[(mass body one plus the mass of body two) times the universal gravitational constant] times (orbital period squared)} divided by [(pi squared) times four]. Mass body one plus mass body two = [(distance cubed) times (pi squared) times 4] divided by [universal gravitational constant times (orbital period squared)]. For this formula orbital period is in se
