NONINTEGRABILITY OF THE PROBLEM OF MOTION AROUND AN OBLATE PLANET

Authors
CELLETTI A NEGRINI P
Citation
A. Celletti et P. Negrini, NONINTEGRABILITY OF THE PROBLEM OF MOTION AROUND AN OBLATE PLANET, Celestial mechanics & dynamical astronomy, 61(3), 1995, pp. 253-260
Citations number
NO
Categorie Soggetti
Astronomy & Astrophysics
Journal title
Celestial mechanics & dynamical astronomy → ACNP
ISSN journal
09232958
Volume
61
Issue
3
Year of publication
1995
Pages
253 - 260
Database
ISI
SICI code
0923-2958(1995)61:3<253:NOTPOM>2.0.ZU;2-D
Abstract
We provide a result of non-analytic integrability of the so-called J(2 )-problem. Precisely by using the Lerman theorem we are able to prove the existence of a region of the phase space, where the dynamical syst em exhibits chaotic motions.