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Forums
Physics
Special and General Relativity
Understand Twin Paradox, Leading Clocks Lag & Doppler Effect
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[QUOTE="Nugatory, post: 6071562, member: 382138"] Both clocks are approaching the Earth at the same speed, so will be equally Doppler-shifted; the time interval between the arrival of successive flashes from either one of the clocks will be the same, and therefore both will be ticking at the same rate in the Earth frame (and in the spaceship frame, although the two frames will disagree about what that tick rate is). The lead/lag effect is something different: at the same time in the Earth frame, the two ship clocks will not display the same elapsed time, and the difference between the two readings will be proportional to the distance between them (in this case, the length of the ship). Assume for simplicity that the ship clocks were zeroed at the turnaround. In the ship frame both clocks start their return journey at the same time, but the "front clock zeroed and starts back towards earth" event and the "rear clock zeroed and starts back towards earth" events are not simultaneous in the Earth frame, and this explains the constant offset in the Earth frame between the two clocks. [/QUOTE]
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Physics
Special and General Relativity
Understand Twin Paradox, Leading Clocks Lag & Doppler Effect
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