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In this work we present the results of a suite of dynamical simulationsfollowing the orbital evolution of 8,022 hypothetical Centaur objects. TheseCentaurs begin our integrations on orbits in the vicinity of the 2:1 meanmotion resonance with Neptune, and we follow their dynamical evolution for aperiod of 3 Myr under the gravitational influence of a motionless Sun and thefour Jovian planets. The great majority of the test particles studied rapidlyescaped from the vicinity of the 2:1 mean motion resonance of Neptune anddiffused throughout the Solar System. The average libration time of Centaurs inthe vicinity of 2:1 mean motion resonance of Neptune was found to be just 27kyr. Although two particles did remain near the resonance for more than 1 Myr.Upon leaving the vicinity of the 2:1 resonance, the majority of test particlesevolved by a process of random walk in semi-major axis, due to repeated closeencounters with the giant planets.

The Dynamics of Centaurs in the Vicinity of the 2:1 Mean Motion Resonance of Neptune and Uranus Trojan Region