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Homework Help: Velocity Equation Derivation For Radiation Beaming

  1. Feb 18, 2016 #1


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    1. The problem statement, all variables and given/known data

    Radiation beaming (cone) from an object travelling towards you at some velocity 'v'
    with the observed flux enhanced by an amplification factor 'a'.

    Derive an equation for the velocity 'v' needed to produce an amplification factor 'a'.

    Thank you
    2. Relevant equations

    Beaming angle = Theta (rad) = SQRT(1-(v/c)^2)

    c= speed of light

    Amplification factor = a=4/Theta (rad)^2

    3. The attempt at a solution
    From previous attempts z (red-shift) and Theta (beaming angle) are not in the
    derived equation.
  2. jcsd
  3. Feb 23, 2016 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
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