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Homework Help: Euler-Lagrange Equations

  1. Apr 13, 2010 #1
    What does it mean when it says "the integral of the Lagrange equation is stationary for the path followed by the particle"?
     
  2. jcsd
  3. Apr 13, 2010 #2
    Is it just saying that the integral is a constant?
     
  4. Apr 13, 2010 #3
    I would assume it means that the action [tex]s = \int Ldt[/tex] is a stationary point (i.e. a min most likely as the action is minimised in real systems).

    You might want to wait for some confirmation however as I haven't studied Lagrangian mechanics in too much depth.
     
  5. Apr 13, 2010 #4

    Cyosis

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    A stationary point is a point where the derivative of a function is 0. To obtain the Euler-Lagrange equations we set the variation of the action to 0.
     
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