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Electron trajectories through a linear magnetic wiggler in an axial guide field are calculated numerically. Off‐axis electrons are shown to drift in a direction perpendicular to the wiggler field because of the wiggler gradient. Effects of self‐fields and initial conditions are analyzed, and the results compared to those obtained with a helical wiggler. An empirical analytic expression for the linear wiggler drift is presented, and means of stabilizing the drift are discussed.