Lets say the spaceship is traveling at .9c to Proxima Centauri. How long does this trip take from the observational standpoint of the passenger vs. the observer from Earth?
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$\begingroup$ emc2-explained.info/Dilation-Calc/#.WVdqs-mQzIU $\endgroup$– userLTKCommented Jul 1, 2017 at 9:27
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4$\begingroup$ This is a basic question about special relativity and time dilation. Have you done any prior research? $\endgroup$– adrianmcmenaminCommented Jul 1, 2017 at 11:29
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1$\begingroup$ math.ucr.edu/home/baez/physics/Relativity/SR/Rocket/rocket.html is probably the most readable resource $\endgroup$– user21Commented Jul 1, 2017 at 17:46
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1 Answer
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Proxima Centauri is about 4.25 light years away.
4.25 / 0.9 = 4.72 years, for the observer on earth. See fourth grade math for info on the calculation.
For the person on the ship, he is undergoing time dilation of about 2.29, which results in 4.72 / 2.29 = 2.06 years. See for example https://www.fourmilab.ch/cship/timedial.html for info the calculation of the dilation.
