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Small oscillations and closed orbit

  1. Mar 2, 2013 #1
    1. The problem statement, all variables and given/known data

    I'm studying small oscillations. When can I say that an orbit is closed?

    3. The attempt at a solution
    I remember that there is a ratio that must be a rational number but I don't remember other thing...
    Thank you!
  2. jcsd
  3. Mar 2, 2013 #2
    An orbit is closed if, after a finite number of revolutions, the point returns to its initial position. Now, impose that condition to the unperturbed orbit and the oscillation...
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