A clock is placed in a satellite that orbits the
earth with a period of 120 min at the radius
8.05535 × 106 m.
By what time interval will this clock dif-
fer from an identical clock on the earth af-
ter 1 y? Assume that special relativity ap-
plies and neglect general relativity. There are
365.25 days in a year. A useful approximation
is sqrt(1-x)~1-.5x for x<<<1.
Answer in units of s.