Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997a%26a...320..672n&link_type=abstract
Astronomy and Astrophysics, v.320, p.672-680
Astronomy and Astrophysics
Astrophysics
11
Minor Planets, Celestial Mechanics, Chaos
Scientific paper
We have applied the frequency map analysis of Laskar (1993, Physica D 67, 257) to the following dynamical models of the 2/1 asteroidal mean-motion resonance: the planar restricted three-body model and the planar restricted four-body model with Saturn. It allowed us to reproduce the chaotic region, which is formed by the overlap of secondary resonances in low eccentricities. We have examined the chaos generated by high-order secondary resonances in moderate eccentricities and concluded that, in the three-body planar model, most of the area remains regular even in the model with Jupiter's eccentricity equal to 0.061. But, when the basic secular frequencies of Jupiter's orbit were taken into account, the moderate-eccentricity region turned chaotic and a slow chaotic diffusion appeared. The diffusion was found to be more significant in the full, planar four-body model. Asteroids exhibited random excursions in the phase space and we studied this possible mechanism of resonance emptying in several 10-Myr integrations.
Ferraz-Mello Sylvio
Nesvorný David
No associations
LandOfFree
Chaotic diffusion in the 2/1 asteroidal resonance. an application of the frequency map analysis. does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Chaotic diffusion in the 2/1 asteroidal resonance. an application of the frequency map analysis., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chaotic diffusion in the 2/1 asteroidal resonance. an application of the frequency map analysis. will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1315664