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Effective Potential with Power-Law Spiral

  1. Mar 15, 2010 #1
    1. The problem statement, all variables and given/known data

    Given L, find the V(r) that leads to a spiral path of the form r = r0(theta)k.

    Choose E to be zero.

    3. The attempt at a solution

    I know that I need to find r' as a function WITHOUT theta, but I'm not sure how to do that. I know how to find r' as a function of theta, but I don't know how to get rid of theta.

    I do however know that (theta)' = L/mr2, but I'm not sure if this helps me. :(
  2. jcsd
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