Mathematics – Probability
Scientific paper
Aug 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003basbr..23..237a&link_type=abstract
Boletim da Sociedade Astronômica Brasileira (ISSN 0101-3440), vol.23, no.1, p. 237-237
Mathematics
Probability
Scientific paper
Resonance stickiness takes place when a near resonant orbit becomes temporarily captured in a resonant regime near the separatrix. The sticky orbit normally shows a remarkable chaoticity but it may survive in such chaotic regime for a very long time span (much longer than the typical time scale of resonant motion near the separatrix). In this work we analyze the probability of temporary capture of Jupiter family comets-like orbits in the main asteroidal mean motion resonances, and discuss the role of resonance stickiness in these capture processes. We numerically simulate the evolution of several hundreds of Jupiter family comets clones, under the perturbation of planets from Venus to Neptune. By considering the percentage of bodies temporarily captured in the main mean motion resonances with Jupiter (1: 1, 2: 1, 3: 2, 4: 3 and 5: 2) we statistically determine how many cometary bodies we would expect to observe in typical asteroidal resonant orbits. Preliminary results indicate that there would be a few inactive comets in the 2: 1, 3: 2 and 4: 3 resonance at present times, which may be members of the populations of strongly chaotic asteroids detected in such resonances.
Alvarez-Candal Alvaro
Roig Fernando
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