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what is the equation for time dilation. In special relativity an observer in inertial ie nonaccelerating motion has a well-defined means of determining which events occur simultaneously with a given event. Solving the above equation for t in terms of h v and c gives.
That follows from the fact that v 2 G M r for a circular orbit and g 1 1 v 2 c 2 1 v 2 2 c 2. The following video is an explanation of time based on wave theory including relativity concepts. The lengths 2 s and 2 L are respectively the distances that the pulse of light and the spacecraft travel in time D t in the earthbound observers frame.
In the observers reference frame the time between events is called two-position time or observer time and is labeled Dt.
In this equation t 0 is the proper time for an event ie. The time will always be shortest as measured in its rest frame. That follows from the fact that v 2 G M r for a circular orbit and g 1 1 v 2 c 2 1 v 2 2 c 2. The video is narrated by Kyle Yee a fifth grader at the time of the videos production.