Perihelia reduction and Global Kolmogorov tori in the planetary problem / / Gabriella Pinzari
(Visualizza in formato marc)
(Visualizza in BIBFRAME)
| Autore: |
Pinzari Gabriella <1966->
|
| Titolo: |
Perihelia reduction and Global Kolmogorov tori in the planetary problem / / Gabriella Pinzari
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [2018] |
| ©2018 | |
| Descrizione fisica: | 1 online resource (104 pages) |
| Disciplina: | 521 |
| Soggetto topico: | Celestial mechanics |
| Note generali: | "September 2018. Volume 255. Number 1218 (first of 7 numbers)." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | Background and results -- Kepler maps and the Perihelia reduction -- The P-map and the planetary problem -- Global Kolmogorov tori in the planetary problem -- Proofs. |
| Sommario/riassunto: | The author proves the existence of an almost full measure set of (3n-2)-dimensional quasi-periodic motions in the planetary problem with (1+n) masses, with eccentricities arbitrarily close to the Levi-Civita limiting value and relatively high inclinations. This extends previous results, where smallness of eccentricities and inclinations was assumed. The question had been previously considered by V. I. Arnold in the 1960s, for the particular case of the planar three-body problem, where, due to the limited number of degrees of freedom, it was enough to use the invariance of the system by the SO(3) group. The proof exploits nice parity properties of a new set of coordinates for the planetary problem, which reduces completely the number of degrees of freedom for the system (in particular, its degeneracy due to rotations) and, moreover, is well fitted to its reflection invariance. It allows the explicit construction of an associated close to be integrable system, replacing Birkhoff normal form, a common tool of previous literature. |
| Titolo autorizzato: | Perihelia reduction and Global Kolmogorov tori in the planetary problem |
| ISBN: | 1-4704-4813-0 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910793296803321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Number 1218.