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

• Autores: Luis Floria Gimeno
• Localización: VII Jornadas Zaragoza-Pau de Matemática Aplicada y estadística: Jaca (Huesca). 17-18 de septiembre de 2001 / coord. por Monique Madaune-Tort , 2003, ISBN 84-96214-04-4, págs. 281-288
• Idioma: inglés
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• Resumen

  • 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.