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Elliptic orbit from empty focus

  1. Sep 9, 2008 #1
    hello, Im solving a problem about the angular velocity in an elliptic keppler orbit as seen from the empty focus of the ellipse.

    1. The problem statement, all variables and given/known data
    Show that the angular motion of a keppler orbit as seen from the empty focus is uniform to first order in the eccentricit.

    3. The attempt at a solution
    I have tried various ways to attack this problem but they all run into the same type of problem. What Im trying to get is a way to relate the constant angular momentum around the non-empty focus to the angular motion as seen from the empty focus. But all such attempts get into very complicated calculations, if not impossible.

    Does anyone have a good way to relate these two angular motions to each other? any ideas of how to adress the problem to make it simpler? or any references where I could find something helpfull...?

    I would appreciate it!
     
  2. jcsd
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