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Goldstein Central Force Repulsive Scattering

  1. Jul 17, 2015 #1
    On page 108 in Goldstein 3rd edition in the paragraph after equation (3.94) he says that ##\psi##` can be obtained from the orbit equation (3.36) using the limits as ##r_0=\infty## ##r=r_m## which the distance of closest approach and ##\theta_0=\pi## which is the initial direction.

    So looking at the diagram on the top of the page this angle he is calculating ##\theta## seems to me to be exactly ##\psi## but he says that ##\psi=\pi-\theta##

    When we start at ##r=\infty , \theta = \pi## and move to ##r=r_m## on the diagram the corresponding angle traced out is ##\theta=\psi## where am I going wrong/


    The book is here for anyone who doesnt have it.
     
    Last edited by a moderator: May 7, 2017
  2. jcsd
  3. Jul 19, 2015 #2

    Dale

    Staff: Mentor

    You start out at an angle of ##\pi## and trace out an angle ##\psi## so you must end up at an angle ##\pi-\psi##.
     
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