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.