ON THE STABILITY OF REALISTIC 3-BODY PROBLEMS

Authors
CELLETTI A CHIERCHIA L
Citation
A. Celletti et L. Chierchia, ON THE STABILITY OF REALISTIC 3-BODY PROBLEMS, Communications in Mathematical Physics, 186(2), 1997, pp. 413-449
Citations number
17
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
186
Issue
2
Year of publication
1997
Pages
413 - 449
Database
ISI
SICI code
0010-3616(1997)186:2<413:OTSOR3>2.0.ZU;2-L
Abstract
We consider the system Sun-Jupiter-Ceres as an example of a planar, ci rcular, restricted three-body problem and, after substituting the mass ratio of Jupiter/Sun (which is approximately 10(-3)) with a parameter epsilon, we prove the existence of stable quasiperiodic motions with frequencies close to the observed (average) frequencies reported in '' The Astronomical Almanac'' for \epsilon\ < 10(-6). The proof is ''comp uter-assisted''.