We can use equation 2 to determine the impact of gravitational time dilation on the clock frequency at different distances from the center of a gravitational field.
Gps clocks time dilation.
For gps satellites to work they must adjust for similar bending of spacetime to coordinate properly with systems on earth.
For example at the iss time goes slower lagging approximately 0 01 seconds behind for every 12 earth months passed.
The combination of these two relativitic effects means that the clocks on board each satellite should tick faster than identical clocks on the ground by about 38 microseconds per day 45 7 38.
The effect of gravitational time dilation can even be measured if you go from the surface of the earth to an orbit around the earth.
In special relativity an observer in inertial i e nonaccelerating motion has a well defined means of determining which events occur simultaneously with a given event.
Time dilation explains why two working clocks will report different times after different accelerations.
Therefore as gps satellites measure the time it s messages take to reach you and come back it is important to account for the real time that the signal takes to reach the target.
This form of time dilation goes such that the faster.
Gr predicts that time passes more slowly in a gravitational field.
Because a clock on earth is subject to a stronger gravitational field than the satellite the clock on the satellite will appear outrun the same clock on the earth.
Global positioning system gps satellites are positioned about 12 550 miles above earth s surface and therefore are not as close to earth s gravitational field.
The above claims are incorrect firstly because general relativity is not valid.
Nothing about gravitational time dilation.
A second inertial observer who is in relative motion.
Time dilation in the theory of special relativity the slowing down of a clock as determined by an observer who is in relative motion with respect to that clock.
Part 2 gps and relativity time dilation so good it needs clock corrections part 3 atomic clock collecting hobby going to extremes at home part 4 project great a diy gravitational time dilation experiment.
Because of time dilation the atomic clocks on the gps satellites run faster than those on the ground by enough that the gps system must account for the difference.
Gr predicts gps satellites gain 45 microseconds a day.
But for a gps another form of time dilation is also in effect because the fact that the satellite is in motion changes the clocks as well.
A calculation using general relativity predicts that the clocks in each gps satellite should get ahead of ground based clocks by 45 microseconds per day.