Quantitative perturbation theory by successive elimination of harmonics

Details Quantitative perturbation theory by successive elimination of harmonics Quantitative perturbation theory by successive elimination of harmonics

Feb 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..55..131m&link_type=abstract

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

Mathematics

4

Celestial Mechanics, Harmonics, Perturbation Theory, Fourier Analysis, Hamiltonian Functions, Iterative Solution, Transformations (Mathematics)

Scientific paper

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.

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