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Here's a physics problem for you -- at what altitude does a gps satellite not need an offset atomic clock?
No problem. GPS is about two wrongs making a right, using conformal mapping that SEEMS to validate relativity notions.
What always happens is that light travels at c+V, never c. However it may appear to travel at c when the Earth is taken to be at rest, while in fact the Earth moves.
GPS equations work as the Earth is taken to be at rest EFFECTIVELY with all the universe going around it in a warped manner.
That is what the Michelson Morley results clearly show. If the Earth is moving, then to get the null results the speed of light must vary with the speed of the apparatus on the Earth going through space. If the Earth is really not moving, but supposed to be as per the equations, then the null results are explained with the constancy of the speed of light, invariant of its origin velocity.
A bit of detail - as the Earth is moving, as soon as a wavefront of light is released from the source, it has to go an extra distance to reach its distance, which is more, or less, than the distance measured in the apparatus depending upon direction of light throw. If the light throw is in the direction of the Earth's motion, then by the time the light reaches the destination point, the destination point will have moved by a little amount. The light thus actually has to travel a longer distance than what is measured out. Similarly, when the light returns from the destination point to the source, it will move against the direction of Earth's motion. In this case the destination point will come nearer to the wavefront of the light. So the actual distance that is travelled, in the second case, will be shorter than that measured out by the scale.
This very important fact has been totally neglected in the analysis, so far. I pointed this out back in 2005, that this huge but subtle bungle had taken place in the analysis of the MMI experiment.
The position of stars throughout the year changes, showing that the Earth moves around the Sun - that the Earth moves as per Galileo, is not stuck in the same spot as Aristotle would have it and his adoring Christian following for centuries.
As the Earth moves, relativity notions are wrong. Nevertheless, if it is supposed to be still, then relativity equations are useful for explaining the mathemetics involved in GPS.