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A numerical algorithm for simulating dust particle deposition on a charged spherical collector is presented in the paper. Trajectories of the charged dust particles are traced in three-dimensional space by solving the Newton equation, taking into account inertial, air drag, gravitational and electrostatic forces. The collector (charged droplet) falls down freely and its trajectory is also determined. A laminar viscous model is assumed for the air flow in the vicinity of the collector and modelled using the finite element method in two-dimensional cylindrical coordinates. The deposition efficiency is defined in terms of the volume of space, from which all particles are deposited. The calculation results for different Stokes, Coulomb and Reynolds numbers are given.