On stable chaos in the asteroid belt

Authors
Citation
M. Sidlichovsky, On stable chaos in the asteroid belt, CEL MEC DYN, 73(1-4), 1999, pp. 77-86
Citations number
16
Categorie Soggetti
Space Sciences
Journal title
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY
ISSN journal
09232958 → ACNP
Volume
73
Issue
1-4
Year of publication
1999
Pages
77 - 86
Database
ISI
SICI code
0923-2958(1999)73:1-4<77:OSCITA>2.0.ZU;2-I
Abstract
The twenty most chaotic objects found among first hundred of numbered aster oids are studied. Lyapunov time calculated with and without inner planets i ndicates that for eleven of those asteroids the strongest chaotic effect re sults from the resonances with Mars. The filtered semimajor axis displays a n abrupt variation only when a close approach to Mars takes place. The stud y of the behaviour of the critical argument for candidate resonances can re veal which is responsible for the semimajor axis variation. We have determi ned these resonances for the asteroids in question. For the asteroids chaot ic even without the inner planets we have determined the most important res onances with Jupiter, or three-body resonances.