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Parallel Transport on a sphere

  1. Feb 27, 2012 #1
    1. The problem statement, all variables and given/known data

    See attached picture of the problem.

    2. Relevant equations

    See attached picture of the pair of diff equations.

    3. The attempt at a solution

    I was able to solve the problem up to the point the picture gets to. However, the author says he obtained this by integrating. I couldn't figure out how to do this by direct integration, so I modified the pair of equations into two 2nd order ODE's, each of one function, and solved them.

    Is there a way to directly integrate these equations? I have a feeling I'm going to feel dumb when I hear the answer. Please let me know if you need any more info.

    Thanks for your help,
    Mike
     

    Attached Files:

  2. jcsd
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