Low, Stephen G.Campoamor Stursberg, Otto-Rudwig2024-07-082024-07-0820240393-044010.1016/j.geomphys.2024.105249https://hdl.handle.net/20.500.14352/105788We show that diffeomorphisms of an extended phase space with time, energy, momentum and position degrees of freedom leaving invariant a symplectic 2-form and a degenerate orthogonal metric dt2, corresponding to the Newtonian time line element, locally satisfy Hamilton’s equations up to the usual canonical transformation on the position-momentum subspace.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Jacobi group symmetry of Hamilton's mechanicsjournal articleembargoed accessNoninertial symmetryJacobi groupHamilton equationsSymplectic geometryWeyl-Hesienberg groupJacobi morphismsEcuaciones diferenciales1206.02 Ecuaciones Diferenciales