Some of the most interesting cases of close asteroid pairs perturbed by resonance

Abstract We have randomly selected 20 close asteroid pairs (younger than 800 kyr) from known pairs, and by the application of backward numerical integration we have calculated their orbits. For the reason of speeding up the process of making the resonances visible, we have used a high value of Yarkowsky drift. The results of the calculation show that only two pairs appear to have a simple resonance with Earth and Jupiter while half of the tested pairs are visibly in the vicinity of three-body resonances. We have found a 2-1J-1M resonance for the pair (56232) 1999 JM31 and (115978) 2003 WQ56. Following our study of the pair (10123) Fideoja and (117306) 2004 VF21, we discovered a different resonance than the 7-2J mean motion resonance previously published: we have proved that this pair is perturbed by 9-6J-4M three body resonance.