STABILITY OF THE PLANETARY 3-BODY PROBLEM .2. KAM THEORY AND EXISTENCE OF QUASI-PERIODIC MOTIONS

Authors
Citation
P. Robutel, STABILITY OF THE PLANETARY 3-BODY PROBLEM .2. KAM THEORY AND EXISTENCE OF QUASI-PERIODIC MOTIONS, Celestial mechanics & dynamical astronomy, 62(3), 1995, pp. 219-261
Citations number
NO
Categorie Soggetti
Astronomy & Astrophysics
ISSN journal
09232958
Volume
62
Issue
3
Year of publication
1995
Pages
219 - 261
Database
ISI
SICI code
0923-2958(1995)62:3<219:SOTP3P>2.0.ZU;2-P
Abstract
Using new expansions of the planetary Hamiltonian in Poincare canonica l elliptic variables, Arnold's theorem for the existence of quasiperio dic orbits in degenerated cases is applied to the general spatial plan etary three body problem. The existence of quasiperiodic motion is dem onstrated for almost all values of the ratio of semi-major axis alpha in]0, 0.8] and almost all values of the mutual inclination up to about 1 degree. This extends the previous result of Arnold (1963).