1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?



Similar Discussions: Particles trajectory in a bound orbit.
  1. Orbits and potential (Replies: 0)

  2. Bound-state Energy (Replies: 0)

  3. Hole orbits (Replies: 0)

  4. Satellite Orbit (Replies: 0)

Loading...