The Time Dilation equation computes the time that is relative to the observer on some object that is in a certain inertial reference frame.
The equation for Time Dilation can be expressed as:
`t = (t_0)/sqrt(1-v^2/c^2)`
t = Observers time
`t_0` = Proper time
v = Relative velocity of object
c = Speed of light in a vacuum
In the theory of relativity, time dilation is an actual difference of elapsed time between two events as measured by observers either moving relative to each other or differently situated from gravitational masses.
An accurate clock at rest with respect to one observer may be measured to tick at a different rate when compared to a second observer's own equally accurate clocks. This effect arises neither from technical aspects of the clocks nor from the fact that signals need time to propagate, but from the nature of spacetime itself.