The International space station (ISS) orbits the Earth at an altitude of 350km a

Question

The International space station (ISS) orbits the Earth at an altitude of 350km above the surface. it takes 90min to complete one orbit around the Earth. The computer clock on the ISS and the computer clock at the Kennedy Space Center (KSC) are designed to stay synchronized. However, as time passes the clock on the ISS starts falling behind the clock at the KSC, and it is determined that it is not caused by a mechanical failure. Hint; careful with units

A) explain why the two clocks fall out of synchronization
B) how much time must pass at the KSC before the clock on the ISS is one-second behind

Thanks guys

Explanation / Answer

A) time slows down the faster you go. The ISS is traveling, so clocks on the ISS fall behind. B) how far is ISS going every 90 min? radius of earth 6.37 E 6 m extra height 3.5 E 5 m 2 Pi r = 4.22 E 7 m This is how far 90 min = 90min*60s/min = 5400s This is the time Distance = rate times time rate = distance/time speed of ISS = 7.82 E 3 m/s this is very slow compared to speed of light, so the effect will be very hard to notice. (v/c)^2 = 6.79 E -10 1- (v/c)^2 = 0.99999999932 SQRT(1- (v/c)^2) = 0.9999999997 t+1 =t/0.9999999997 .0000000003*t = 1 t = 2944162259s t = 93 years yes, this is very hard to notice.

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