An analytic model of three-body mean motion resonances

Authors
Nesvorny, D Morbidelli, A
Citation
D. Nesvorny et A. Morbidelli, An analytic model of three-body mean motion resonances, CEL MEC DYN, 71(4), 1998, pp. 243-271
Citations number
12
Categorie Soggetti
Space Sciences
Journal title
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY
ISSN journal
09232958 → ACNP
Volume
71
Issue
4
Year of publication
1998
Pages
243 - 271
Database
ISI
SICI code
0923-2958(1998)71:4<243:AAMOTM>2.0.ZU;2-Q
Abstract
It has been recently shown that the resonances among the mean motions of an asteroid, Jupiter and Saturn are very important for the origin of chaos in the asteroid belt. We develop an analytic model for these three-body reson ances which allows quantitative predictions on their amplitude and libratio n timescale. We also discuss why these resonances are chaotic.