Resumen de On a transformation to canonical orbital elements for the two body problem

Luis Floria Gimeno

• Within the framework of the Hamiltonian Mechanics in extended phase space, the transformation from the enlarged Delaunay chart (as considered by Bond & Broucke and Bond & Janin in the late 1970s and early 1980s), leading to the construction of a canonical set of DS (Delaunay-Similar or Delaunay-Scheifele) elliptic Keplerian orbital elements proposed by Scheifele and Graf, is generalized so as to create a general, unified pattern for the systematic derivation of any set of elliptic DS orbital elements with respect to an arbitrary independent variable (some kind of anomaly-like parameter introduced by a generalized Sundman-type time- transformation). An adequate modification of the generating function of the canonical mapping takes into account the unspecified nature of the new phase variables.