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.