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Retarded time

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According to Maxwell's Equations, electromagnetic waves in a vacuum travel at the speed of light, c. Since c is finite, a photon emitted when t = t0 takes a certain amount of time to reach an observer located at a distance r from the source, so that the observer only notices it when t = t1:

[t_1 = t_0 + \frac].
This can be rearranged as:

[ t_0 = t_1 - \frac].
The time [t_0 = t_1 - \frac] is defined as the retarded time and represents the delay between the photon emission and the moment at which it reaches the observer.

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