6. A satellite is in circular polar orbit of radius r around the Earth (radius R, mass M). A standard clock C on the satellite records the proper time taken to perform each orbit, Atc. An identical clock Co at rest at the North Pole on Earth records the time, ATco, between successive observations of the satellite being overhead. Show that, in the Newtonian limit of a weak gravitational field and slow-moving objects, the ratio of times is approximately Atc 3GM GM ATco 2rc2 Rc2 *

6. A satellite is in circular polar orbit of radius r around the Earth (radius R, mass M). A standard clock C on the satellite records the proper time taken to perform each orbit, Atc. An identical clock Co at rest at the North Pole on Earth records the time, ATco, between successive observations of the satellite being overhead. Show that, in the Newtonian limit of a weak gravitational field and slow-moving objects, the ratio of times is approximately Atc 3GM GM ATco 2rc2 Rc2 *