Time Dilation & Acceleration: Leaving Earth Effects

wondercosmos
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Leaving Earth at constant acceleration will make time on board go slower.
Acceleration will take the ship closer and closer to c
Question is:
How long will acceleration act on the ship?
The time as measured on Earth or on the ship?
The final v will be greatly different. Of course, given enough time, in both cases final v will be the same (or almost).
Regards, Mauro.
 
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The acceleration will act on the ship for as long as its engines are firing.
A clock on board the ship and a clock on Earth will disagree about how long that is.

Once the engines are shut off so the ship is coasting instead of accelerating, the ship observers and the Earth observers will find the same value for the relative speed between the ship and the earth.
 
Here is a great page describing all of these issues.

http://math.ucr.edu/home/baez/physics/Relativity/SR/rocket.html
 
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Nugatory, I think I understand your answer. Of course! Thank you.
DaleSpam, great article. It shows complexities I did not know. Thanks.
 
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