A Normal Form without small divisors
Gabriella Pinzari
TL;DR
This paper develops a new normal form lemma tailored for near-integrable Hamiltonian systems with mixed coordinates, aiding the study of KAM tori in Sun-Earth-Asteroids models.
Contribution
It introduces a novel normal form lemma applicable to systems with non-action-angle coordinates, extending KAM theory tools.
Findings
Normal form lemma for mixed coordinate Hamiltonian systems
Application to Sun-Earth-Asteroids KAM tori
Enhanced analysis of near-integrable dynamics
Abstract
Following the techniques of [4], we formulate a Normal Form Lemma suited to close to be integrable Hamiltonian systems where not all the coordinates are action angles. The Lemma turns to be useful in the theory of KAM tori of Sun-Earth-Asteroids systems.
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Taxonomy
TopicsAstro and Planetary Science