Quantitative perturbation theory by successive elimination of harmonics
 Authors:

                    Morbidelli, Alessandro; Giorgilli, Antonio
 Affiliation:

                    AA(Facultes Universitaires Notre-Dame de la Paix, Namur, Belgium) AB(Milano, Univ., Milan, Italy)
 Journal:

                    Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 55, no. 2, p. 131-159.
                    (CeMDA Homepage)
 Publication Date:

                    02/1993
 Category:

                    Physics (General)
 Origin:

                    STI
 NASA/STI Keywords:

                    CELESTIAL MECHANICS, HARMONICS, PERTURBATION THEORY, FOURIER ANALYSIS,
                    HAMILTONIAN FUNCTIONS, ITERATIVE SOLUTION, TRANSFORMATIONS
                    (MATHEMATICS)
 Bibliographic Code:

                    1993CeMDA..55..131M
 

                                            Abstract

We revisit some results of perturbation theories by a method of successive elimination of harmonics inspired by some ideas of
Delaunay. On the one hand, we give a connection between the KAM theorem and the Nekhoroshev theorem. On the other hand, we
support in a quantitative fashion a semi-numerical method of analysis of a perturbed system recently introduced by one of the
authors.