Satellite Time Dilation Formula

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.

Satellite time dilation formula.

T 0 represents experienced time c is the speed of light and t represents dilated time. T 0 time in observers own frame of reference rest time v the speed of the moving object. The formula here is relatively simple. 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.

We ll need some other constants too. Let s keep it simple and assume circular orbits of gps satellites with average height r gps 20180 km. C 299792458 m s mass of the earth. Moreover her twin sister alpana stays on the earth.

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. T time observed in the other reference frame. 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.

A second inertial observer who is in relative motion. The effect of time dilation can be seen in nature paired atomic clocks if two atomic clocks start with identical time one remaining stationary and the other placed aboard an intercontinental aircraft the clock on the aircraft will show a slower passage of time compared to the stationary clock when it returns. Begingroup there are actually two effects at play here. M 5 97219 10 24 kg gravitational constant.

After compensating for varying signal delays due to the changing distance between an observer and a moving clock i e. Doppler effect the observer will measure the moving clock as. The equation for calculating time dilation is as follows. Speed of light.

What would the observable effects be like then. The net effect is that the satellite clock is actually faster by 38 microseconds per day. T t 0 1 v 2 c 2 1 2. In addition the instant kalpana s ship passes the earth both the sisters start timers.

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. Gps satellites without taking into account the high velocity motion of the. Furthermore kalpana watches her timer and stop it. C the speed of light in a vacuum.