Perturbed Gylden Systems and Time-Dependent Delaunay-Like Transformations

Details Perturbed Gylden Systems and Time-Dependent Delaunay-Like Transformations Perturbed Gylden Systems and Time-Dependent Delaunay-Like Transformations

May 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cemda..68...75f&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 68, Issue 1, pp.75-85

Astronomy and Astrophysics

Astronomy

1

Gylden Systems, Canonical Transformations, Delaunay-Like Map, Tr-Transformation, Perturbed Elliptic- And Hyperbolic-Type Motion

Scientific paper

We study the possibilities and limitations of the application of generalized Delaunay-like transformations (in the 6-dimensional phase space) and TR-like mappings (in the 8-dimensional, extended phase space) to perturbed two-body problems with a time-varying Keplerian parameter µ(t), that is, to Gylden-type systems. For the sake of theoretical completeness, both negative- and positive-energy motion (with nonstationary coupling parameter) are, in principle, considered. Our developments are intended to introduce canonical variables parallelling the classical ones of Delaunay and the Delaunay-Similar variables of Scheifele.

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