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The maths of the twin paradox

  1. Aug 12, 2003 #1
    what is the maths of this paradox?
    or more precisely how do you compute the age of the man who stays in earth while the other one in the spacecraft has spent a year in the vehicle?

    thanks in advance.
     
  2. jcsd
  3. Aug 12, 2003 #2

    Janus

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    For the unaccelerated parts of the trip, you use

    T0 = t1/[squ](1-v²/c²)

    For those parts where the spacecraft is undergoing acceleration, you use

    T0 = c/a * sinh(at1/c)

    To find v after time t1 at acceleration a:

    v = c * tanh(at/c)
     
  4. Aug 13, 2003 #3
    Re: Re: the maths of the twin paradox

    does t0 for the person in earth?
     
  5. Aug 13, 2003 #4

    Janus

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    Re: Re: Re: the maths of the twin paradox

    Yes.
     
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