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Resultant Gamma after Einstein velocity addition

  1. Sep 21, 2011 #1
    Hello. Let's say that I am in a frame in which I see a rocket travelling at v. This rocket then fires a projectile forward with velocity u in its rest frame.

    I can find u' easily enough using the Einstein velocity addition formula. However, I recall seeing a version of the formula that uses gammas instead(ie, if \gamma is defined for v and \Gamma is defined for u, then there is some compact equation for \Gamma' purely as a function of the other two gammas)

    Does anyone know this formula? It is proving very difficult to derive. Thanks very much.
     
  2. jcsd
  3. Sep 21, 2011 #2

    ghwellsjr

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    Could you be thinking of the Relativistic Doppler Factor where you can just multiply them for multiple velocities?
     
  4. Sep 21, 2011 #3
    Nah, I remember this came up in class on a problem of this exact sort. I seem to remember there being a \Gamma*\gamma term going on somewhere. But thanks for the analysis-- I'm sure there is a parallel with the Doppler Effect.
     
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