Perturbation theory and canonical coordinates in celestial mechanics

Autor:	Pinzari, Gabriella
Rok vydání:	2022
Předmět:	Mathematics - Dynamical Systems Mathematical Physics numbers: primary: 34C20 70F10 37J10 37J15 37J40 secondary: 34D10 70F07 70F15 37J25 37J35
Druh dokumentu:	Working Paper
DOI:	10.1142/S0129055X24300061
Popis:	KAM theory owes most of its success to its initial motivation: the application to problems of celestial mechanics. The masterly application was offered by V.I.Arnold in the 60s who worked out a theorem, that he named the Fundamental Theorem (FT), especially designed for the planetary problem. However, FT could be really used at that purpose only when, about 50 years later, a set of coordinates constructively taking the invariance by rotation and close-to-integrability into account was used. Since then, some progress has been done in the symplectic assessment of the problem, and here we review such results. Comment: 48 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2209.07457 Zobrazit plný text záznamu View this record from Arxiv