\Ve fiml a close analogy hetwcen electrodynamics and Ihe non-rclalivislic (realmenl of Ihe mOlion of.1 particle in rotating frames. \Ve Ihen pa.••.•• lo (he spcciaJ relalivistic case and proposc a Lagrangian conlaining a skewsymmetric tield Il'i'v. \Ve lind that in Ihe relativistic case the analogy previously mentioned is hroken. Finally we show that lhe lIamilton principie as applied lo c1assical particles in mol ion in rOlnling frames is equivalen! lO the choice of geodesics in a Finsler geometry.