%0 Journal Article %A Low, Stephen G. %A Campoamor Stursberg, Otto-Rudwig %T Jacobi group symmetry of Hamilton's mechanics %D 2024 %@ 0393-0440 %U https://hdl.handle.net/20.500.14352/105788 %X We 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. %~