Friday, June 8, 2012

1206.1451 (E. A. Smirnov et al.)

Massive identification of asteroids in three-body resonances    [PDF]

E. A. Smirnov, I. I. Shevchenko
An essential role in the asteroidal dynamics is played by the mean motion resonances. Two-body planet-asteroid resonances are widely known, due to the Kirkwood gaps. Besides, so-called three-body mean motion resonances exist, in which an asteroid and two planets participate. Identification of asteroids in three-body (namely, Jupiter-Saturn-asteroid) resonances was initially accomplished by D.Nesvorny and A.Morbidelli (1998), who, by means of visual analysis of the time behaviour of resonant arguments, found 255 asteroids to reside in such resonances. We develop specialized algorithms and software for massive automatic identification of asteroids in the three-body, as well as two-body, resonances of arbitrary order, by means of automatic analysis of the time behaviour of resonant arguments. In computation of orbits, all essential perturbations are taken into account. We integrate the asteroidal orbits on the time interval of 100000 yr and identify main-belt asteroids in the three-body Jupiter-Saturn-asteroid resonances up to the 6th order inclusive, and in the two-body Jupiter-asteroid resonances up to the 8th order inclusive, in the set of ~250000 objects from the "Asteroids - Dynamic Site" (AstDyS) database. The percentages of resonant objects, including a prediction for higher-order resonances, are determined; the cases of pure and transient resonances being treated separately.
View original: http://arxiv.org/abs/1206.1451

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