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Euler Lagrange Equations for 1 particle in 3-dimensions

  1. May 31, 2013 #1
    1. The problem statement, all variables and given/known data
    Do the Euler-Lagrange equations set to zero for each of the 3 orthogonal coordinates or do you sum them all equal to zero. Do the coordinates have to be orthogonal in order to write separate E-L equations? Or is there no such thing as non-orthogonal coordinates to analyze a problem? My main question is the first one.


    2. Relevant equations
    d/dt(partial L/partial qi dot) - (partial L/partial qi) = 0?


    3. The attempt at a solution
    Not sure. Self-study/No textbook here. Thank you for reading my question.
    Would the Taylor book on Classical Mechanics explain this well?
     
  2. jcsd
  3. Jun 1, 2013 #2

    ehild

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    Homework Helper
    Gold Member

    You have separate equations for all coordinates. They are general coordinates, needn't be connected to spatial directions.


    ehild
     
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