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Orbital Potential Energy to find r and phi in terms of t.

  1. Oct 31, 2016 #1
    1. The problem statement, all variables and given/known data
    A particle in central force feild has the orbit r=cφ^2, c is a constant. Find the potential energy, Find r and phi in terms of t.
    I get how to find the potential energy and found it to be U=-l^2/mu (2c/r^3+l/2r^2)
    l is angular momentum and mu is the reduced mass
    But how do I get r and phi in terms of t after this?

    2. Relevant equations
    From what my professor showed in class l=mu r^2 dφ/dt was important
    he used that to integrate and get r^2(t)=lt/mu
    I'm trying to use this method to get r and phi

    Any help is much appreciated, thanks!
     
  2. jcsd
  3. Oct 31, 2016 #2

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    Sounds good. Once you have dφ/dt, you can get dt/dφ and integrate.
     
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