Physics, Lagrangian, Symmetry, Classical Mechanics, Mechanics.
the particles have remained invariant and thus U’ = U, where U’ is defined to be U(rᵢ’) and U is the sum of all the particles’ potential energies. ϵ is also constant, meaning that the generalized velocities and kinetic energies are also invariant. All together, this means that L’ = L, where L’ is