Physics, Lagrangian, Symmetry, Classical Mechanics, Mechanics.
defined to be L(rᵢ’, drᵢ’/dt, t). To find our conservation law, we can exploit the fact that L’ is independent of ϵₖ for any k = 1,…, n (n is the no. of dimensions) and differentiate with respect to it, the Euler-Lagrange equations will prove to be useful as it can be used to simplify the total