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Potential Energy using effective potential

  1. Oct 7, 2013 #1
    1. The problem statement, all variables and given/known data
    For a given angular momentum L, find the potential energy function U(r) that leads to a spiral path of the form r=r0θk. Choose the total energy E to be zero. Hint: obtain an expression for r' that is only a function of r, not θ, and then use the energy equation with effective potential


    2. Relevant equations
    E=.5μ(r')2+(L2/2μr2)+U(r)
    r=r0θk

    3. The attempt at a solution
    I can't seem to figure out where to start. I don't want a full solution, but if someone could point me in the right direction, I will try to solve it from there.
     
  2. jcsd
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