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Homework Help: Classical ellipsoidal scattering Impact parameter

  1. Dec 9, 2017 #1
    1. The problem statement, all variables and given/known data
    (x^2 + y^2)/a^2 + z^2/c^2 = 1

    2. Relevant equations


    3. The attempt at a solution

    the answer is :
    b(θ) = R / (f^2 * tan^2(θ/2) + 1)^0.5
    I can't understand how to calculate this.

    My attempt :
    (x^2 + y^2)/a^2 + z^2/c^2 = 1 from this.

    b^2 + z^2/f^2 = a^2 , f = c/a, z = b*cot(∅)

    b^2 *[ 1 + {1/f*tan(∅)}^2 ] = a^2

    could you give a hand?...
     
  2. jcsd
  3. Dec 9, 2017 #2

    fresh_42

    User Avatar
    2017 Award

    Staff: Mentor

    :welcome:

    Hello, it would be helpful, if you explained what is expected to be done. E.g. there is no "b" nor a "##\theta##" in the problem description. Also you should use more parentheses in case of a linear notation of quotients. Of course it would be far better, if you could use LaTeX code. For a brief introduction see: https://www.physicsforums.com/help/latexhelp/
    (It's quite easy to make formulas a lot more readable.)
     
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