On the definition of a family of sets of canonical elements for hyperbolic motion.

Details On the definition of a family of sets of canonical elements for hyperbolic motion. On the definition of a family of sets of canonical elements for hyperbolic motion.

May 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993crasb.316.1369f&link_type=abstract

Comptes Rendus de l'Academie des Sciences, Sér. II, Tome 316, No. 10, p. 1369 - 1374

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The transition from a canonical set of Delaunay-like elements to another one of the DS type, both kinds of sets being applicable to point masses moving along hyperbolic trajectories in problems of orbital motion, is performed by means of a completely canonical transformation derived from a generating function. The two-body Hamiltonian is simplified after the introduction of a fictitious time as the new independent variable; in particular, the arbitrariness in this reparametrizing transformation allows one to recover, as special cases, independent variables analogous to the corresponding classical anomalies in elliptic motion.

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