Noether's theorem in a rotating reference frame

摘要

We use a Lagrangian that yields the equation of motion for particle dynamics in a rotating reference frame to obtain the corresponding conservation laws through Noether's theorem, which relates continuous symmetries to conservation laws. We derive the symmetries by invoking Noether's theorem definition of invariance and solving the resulting set of coupled equations for generators of the transformations. The results illustrate, in a seldom-used context, the unifying power of Noether's theorem.