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General Relativity - Schwarzschild Metric

  1. Feb 18, 2012 #1

    bon

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    1. The problem statement, all variables and given/known data

    A spaceship is moving without power in a circular orbit about an object with mass M. The radius of the orbit is R = 7GM/c^2

    (1) Find the relation between the rate of change of angular position of the spaceship and the proper time and radius of the orbit.


    2. Relevant equations



    3. The attempt at a solution

    So I wrote down the Lagranian from the Schw. metric and finding the EOM for phi i get

    d/dtau (2r^2 sin^theta dphi/dtau) = 0

    so i can conclude r^2 dphi/dtau = constant

    so r^2 dphi/dt times dt/dtau = constant

    is this right? and is this what they want? I'm confused!

    Thanks
     
  2. jcsd
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