Forgive me if this is the wrong place to ask this, but I am trying to do a mental exercise to understand time dilation relative to an observer's frame of reference. In my though experiment I am on a space station and someone is coming to meet me here. GST or Galactic Standard Time is always relative to this particular space station. My friend begins from a point 10 light hours away from me and travels at some fraction of C. I used the formula from the wiki page simplified by expressing V in terms of C: T' = T/SQRT(1-V**2). Below I have a chart calculating T' given V at various fractions of C to travel over this fixed distance to me.(adsbygoogle = window.adsbygoogle || []).push({});

T V T'

50.0 0.20 51.03

40.0 0.25 41.31

33.3 0.30 34.94

28.6 0.35 30.50

25.0 0.40 27.28

22.2 0.45 24.88

20.0 0.50 23.09

18.2 0.55 21.77

16.7 0.60 20.83

15.4 0.65 20.24

14.3 0.70 20.00

13.3 0.75 20.16

12.5 0.80 20.83

11.8 0.85 22.33

11.1 0.90 25.49

10.5 0.95 33.71

So if I did this correctly, the quickest trip in terms of GST from a distance of 10 light hours is at 0.7C. The fact that it took my friend 14.3 hours his time is irrelevant to me. He can reach me in 20 hours, my time, if he travels at 0.7C. This might be miles off base. I am not a physics person. Did I miss something here?

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# B Time dilation & observed time

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