A canonical transformation to eliminate resonant perturbations I

• Published in: arXiv.org
• Main Authors: Deme, Barnabás, Kocsis, Bence
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 27.06.2022
• Subjects: Algorithms; Celestial mechanics; Harmonic oscillators; High frequencies; Integrators; Orbital mechanics; Orbital resonances (celestial mechanics); Perturbation; Physics - Chaotic Dynamics; Physics - Earth and Planetary Astrophysics; Three body problem; Transformations (mathematics)

We study dynamical systems which admit action-angle variables at leading order which are subject to nearly resonant perturbations. If the frequencies characterizing the unperturbed system are not in resonance, the long-term dynamical evolution may be integrated by orbit-averaging over the high-frequ...