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A continuous beam of cold atoms is considered as an alternative to improve the performance of caesium frequency standards. A two-dimensional magneto-optical trap (2D MOT) is outlined. The assembling of three counter-propagating circularly polarised laser beams and of two magnetic field gradients along the horizontal axes leads to a transverse cooling and trapping, whereas in the vertical z-direction the atoms are only cooled and not trapped because of the zero magnetic field in this direction. In order to predict the characteristics of the beam of cold atoms, a simulation of the atomic trajectories was carried out by using a two-dimensional model of Doppler cooling and magneto-optical trapping. The velocity distribution of the atoms, which, due to the trapping and cooling process, enter the zone, where they are launched, is calculated.