in 1962 a person orbited the earth 22 times, the press stated that each orbit he aged 2millionths of a second less, then if he remained on earth.
a.assuming he was 160km above the earth, in a circular orbit, determine the time difference between on earth and the orbiting astronaut for 22orbits.
The Attempt at a Solution
gamma =approx (1+.5*(7815.5/3x10^8))=1.000000001
tau-t=3.563x10^-6s????? is this rite, because, i cant see anywhere i have gone wrong... used exact answers in all my calculations. i guess that is kind of close to 2x10^-6s