Gauge symmetry of the <i>N</i>-body problem in the Hamilton–Jacobi approach
Gauge symmetry of the <i>N</i>-body problem in the Hamilton–Jacobi approach
In most books the Delaunay and Lagrange equations for the orbital elements are derived by the Hamilton–Jacobi method: one begins with the two-body Hamilton equations in spherical coordinates, performs a canonical transformation to the orbital elements, and obtains the Delaunay system. A standard trick is then used to generalize the …