PUBLICATIONS OF THE ASTRONOMICAL OBSERVATORY OF BELGRADE104, Page 195-200, https://doi.org/10.69646/aob104p195
PROCEEDINGS of the XX Serbian Astronomical Conference, Belgrade, October 16 - 20, 2023, Edited by Jelena Petrović, Dušan Marčeta and Ana Lalović
Published by: Astronomical Observatory, Volgina 7, 11060 Belgrade 38, Serbia

Abstract. We studied the motion of asteroids across the 3-body mean motion resonances (MMRs) with Jupiter and Saturn and with the Yarkovsky drift in the semimajor axis of the asteroids. The research was conducted using numerical integrations performed using the Or- bit9 integrator with 72,000 test asteroids. We calculated time delays, dtr, caused by the six 3-body MMRs on the mobility of test asteroids with 10 positive and 10 negative Yarkovsky drifts, which are reliable for Main Belt asteroids. Our final results considered only test aster- oids that successfully crossed over the MMRs without close approaches to the planets. We devised equations that approximately describe the functional relation between the average time <dtr> spent in the resonance, the strength of the resonance SR, and the semimajor axis drifts da/dt (positive and negative) with the orbital eccentricities of asteroids in the range (0.1, 0.2). Comparing the values of <dtr> obtained from the numerical integrations and from the derived functional relations, we analysed average values of <dtr> in all 3-body MMRs for every da/dt. The main conclusion is that the analytical and numerical estimates of the average time <dtr> are in very good agreement, for both positive and negative da/dt. Finally, this study shows that the functional relation we obtain for 3-body MMRs for orbital eccentricities of asteroids in the range (0.1, 0.2) is analogous to that previously obtained fororbital eccentricities of asteroids in the range (0, 0.1) in Milić Žitnik 2021.