Abstract
This article investigates the binary collision between an ion and a charged dust particle in the plasma in the presence of a uniform magnetic field. The trajectories of ions are calculated using the modified Velocity Verlet algorithm designed for a reliable simulation of the charged particle dynamics in arbitrarily strong static homogeneous external magnetic fields. We consider the coupling parameter values for dusty plasma experiments and the external magnetic field with$B\leq 1~{\rm T}$. It has been revealed that at some magnetic field values, the ions are trapped around the charged dust particle. The magnetic field strength values in which the ion becomes trapped around the dust particle have been obtained for typical argon and helium gas discharge plasma parameters.