MAGNEPLANE,1,2,3 a magnetically levitated and propelled vehicle, utilizes superconducting coils to interact with the traveling magnetic field of a linearly disposed three phase stator winding. The three phase forces acting on this linear synchronous motor (LSM) are analyzed in terms of harmonic components. The forces are calculated from the gradient of the mutual inductance by the program LINMOTR. This procedure was used to analyze the forces on a double‐sided LSM described by Ohno, et al.4 The results accurately predict the forces including the cause of the sixth harmonic time perturbation shown in their result. The effect of unbalanced three phase stator currents were analyzed in terms of symmetric components and interesting results were found. This work is part of a project initiated at the MIT Francis Bitter National Magnet Laboratory.