On the successive elimination of perturbation harmonics
 Authors:

                    Morbidelli, Alessandro
 Affiliation:

                    AA(Facultes Universitaires Notre-Dame de la Paix, Namur, Belgium)
 Journal:

                    Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 55, no. 2, p. 101-130.
                    (CeMDA Homepage)
 Publication Date:

                    02/1993
 Category:

                    Physics (General)
 Origin:

                    STI
 NASA/STI Keywords:

                    DYNAMICAL SYSTEMS, HARMONICS, PERTURBATION THEORY, CHAOS, COMPUTER
                    PROGRAMS, CONVERGENCE, DEGREES OF FREEDOM
 Bibliographic Code:

                    1993CeMDA..55..101M
 

                                            Abstract

A practical method for the detailed exploration of two degrees of freedom dynamical systems is presented in this paper. This
method is made up of several steps, in each of which we eliminate, via the introduction of suitable action-angle variables, the most
relevant harmonic present in the Fourier expansion of the perturbation. In this way, at the end, one obtains a satisfactory
description of the fine structure of secondary resonances, as well as detailed information about the size of chaotic layers and about
the localization of regions filled up with invariant tori.