A clock (or a light-emitting atom) located at Earth’s equator moves at about 463 m/s relative to one located at the pole. The equator clock is also about 21 km farther from the center of Earth than the pole clock due to Earth’s equatorial bulge. For an inertial reference frame centered on Earth, compute the time dilation effect for each clock as seen by an observer at the other clock. Show that the effects nearly cancel and that, as a result, the clocks read very close to the same time. (Assume that g is constant over the 21 km of the equatorial bulge.)