An Analytic Model of Three-Body Mean Motion Resonances
 Authors:

                  Nesvorný, D.; Morbidelli, A.
 Affiliation:

                  AA(Observatoire de la Côte d'Azur, B.P. 4229 - Nice Cedex 4, France, david@obs-nice.fr),
                  AB(Observatoire de la Côte d'Azur, B.P. 4229 - Nice Cedex 4, France, david@obs-nice.fr)
 Journal:

                  Celestial Mechanics and Dynamical Astronomy, v. 71, Issue 4, p. 243-271 (1998). (CeMDA Homepage)
 Publication Date:

                  00/1998
 Origin:

                  KLUWER
 Abstract Copyright:

                  (c) 1998 Kluwer Academic Publishers
 Bibliographic Code:

                  1998CeMDA..71..243N
 

                                            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 resonances which allows quantitative
predictions on their amplitude and libration timescale. We also discuss why these resonances are chaotic.