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3 clocks

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The thought experiment consits of 3 clocks. Clock 0 is "stationary" on Earth. Clock 1 is heading toward Earth at close to the speed of light (say a speed of v). Clock 2 is heading toward Earth also at the speed v but it is heading towards Earth from the opposite direction from Clock 1. Further Clock 2 is farther away from Earth than Clock 1 to begin with.

 

Now when clock 1 passes Earth, Clock 1 and Clock 0 synchronize (ie. they both start counting). Now later on clock 1 and Clock 2 pass each other. As they pass each other Clock 2 synchronizes itself with the time on Clock 1 ( ie. Clock 2 starts counting from what was read on clock 1). Next, Clock 2 passes Earth. As Clock 2 passes Earth, all clocks are stopped. What will the clocks read. ie. how will the clocks read relative to each other.

 

There is a problem with the question and that is the relativity of simultaneity. If clock 0 sees the other clocks stop simultaneously with itself then the other clocks will see something different. I just can`t wrap my head around the details of it.

 

Thanks for any insight into this.

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