After compensating for varying signal delays due to the changing distance between an observer and a moving clock i e.
Satellite time dilation formula.
Begingroup there are actually two effects at play here.
The special relativity induced time dilation due to the relative velocity of the satellite and the decrease in gravitationally induced time dilation described by general relativity due to the increased height above earth.
Moreover her twin sister alpana stays on the earth.
In addition the instant kalpana s ship passes the earth both the sisters start timers.
Solved example on time dilation formula example 1.
Suppose that kalpana boards a spaceship and flies past the earth at 0 800 times the speed of light.
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.
T 0 represents experienced time c is the speed of light and t represents dilated time.
A second inertial observer who is in relative motion.
The equation for calculating time dilation is as follows.
C the speed of light in a vacuum.
Time dilation is a difference in the elapsed time measured by two clocks either due to them having a velocity relative to each other or by there being a gravitational potential difference between their locations.
Furthermore kalpana watches her timer and stop it.
Gps satellites without taking into account the high velocity motion of the.
The net effect is that the satellite clock is actually faster by 38 microseconds per day.
We ll need some other constants too.
T t 0 1 v 2 c 2 1 2.
The formula here is relatively simple.
T 0 time in observers own frame of reference rest time v the speed of the moving object.
Gravitational time dilation is a form of time dilation an actual difference of elapsed time between two events as measured by observers situated at varying distances from a gravitating mass the lower the gravitational potential the closer the clock is to the source of gravitation the slower time passes speeding up as the gravitational potential increases the clock getting away from the.
M 5 97219 10 24 kg gravitational constant.
Fortunately einstein gave us an equation for measuring the relative effects of time dilation and it turns out that the implications are mind shattering.
T time observed in the other reference frame.
Doppler effect the observer will measure the moving clock as.
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.
What would the observable effects be like then.
Let s keep it simple and assume circular orbits of gps satellites with average height r gps 20180 km.
Speed of light.
