The linear superconducting OGMS system is described in terms of an analytical theory, computer simulation and particle stream analysis. The magnetic fields, force densities and equations of particle motion are established to yield the particle trajectories and deflections. These are obtained analytically and numerically, and their examination provides the optimum configuration of the system and the criterion for separation independent of particle size. The passage of the particle stream through the separator is also investigated. The effect of interparticle collisions is assessed and an estimate of the collisionless feed processing rate is obtained. Finally, air disturbances are considered and related to the minimum size of particles that the system can treat successfully.