- #1
snoopies622
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I like using the Euler–Lagrange equations to solve simple mechanical systems, but I'm not perfectly clear on the theory behind it. Is it derived by assuming that action is minimized/stationary? Or does one define a system's Lagrangian according to what makes the Euler–Lagrange equations correct, and then define action as the time integral of this Lagrangian? I would like a broad answer that applies not just to classical mechanics but to wherever the Euler–Lagrange equations are used. Thank you!