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Orbital period variation in binary system

  1. May 11, 2009 #1
    1. The problem statement, all variables and given/known data
    Using the conservation of angular momentum and Kelper's third law, show that the relative change in orbital period produced by mass transfer is given by
    1/P * dP/dt = 3 dM1/dt * (M1 - M2)/(M1M2)


    2. Relevant equations
    L = mu * sqrt(GMa)
    P^2 = (4*PI^2)/(G(M1+M2)) * a^3


    3. The attempt at a solution
    see attachment

    I was so close to the answer... I really can't figure out what's missing... is there somehow a miscalculation in my proof?
     

    Attached Files:

  2. jcsd
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