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Particles trajectory in a bound orbit.

  1. Dec 5, 2009 #1
    1. The problem statement, all variables and given/known data

    I am to find the particles trajectory to the first order of r/a knowing it to have the Yukawa potential

    v(r)=V[tex]_{\circ}[/tex]r[tex]_{\circ}[/tex][tex]/[/tex]r * e[tex]^{-r/r_{\circ}}[/tex]
    = -k/r * e[tex]^{-r/a}[/tex]

    2. Relevant equations

    [tex]\theta[/tex](r)= [tex]\int[/tex] (1/r[tex]^{2}[/tex])/[tex]\sqrt{2\mu (E-U-l^{2}/2\mu r^{2}}[/tex]) dr

    3. The attempt at a solution

    My attempt goes as far as using the effective potential given to have a basic equation of motion. I infortunately do not know what is meant by "to first order of"

    any help or recomended readings would be greatly apreciated. im a bit lost.
  2. jcsd
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