Generalized Delaunay-Similar elements of an arbitrary order for perturbed hyperbolic-type motion.

Details Generalized Delaunay-Similar elements of an arbitrary order for perturbed hyperbolic-type motion. Generalized Delaunay-Similar elements of an arbitrary order for perturbed hyperbolic-type motion.

Jan 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994crasb.318...53f&link_type=abstract

Comptes Rendus de l'Academie des Sciences, Sér. II, Tome 318, No. 1, p. 53 - 58

Computer Science

Scientific paper

A generic Hamiltonian sharing the functional form characterizing any Deprit intermediary is investigated under conditions yielding positive-energy two-body motion. An appropriate canonical transformation, followed by an adequate differential transformation of the time parameter, leads to a canonical reduction of the Hamiltonian into the form corresponding to a pure Kepler problem in hyperbolic DS variables. Thus, a canonical set of hyperbolic elements is obtained for the problem posed by this Hamiltonian.

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