An examination is made of the existing methods of calculation for the analysis of the magnetic interactions in magnetoabrasive polishing. An error in the approach to the problem is pointed out which has resulted in calculated values of forces being much smaller than experimental. The superposition method is employed for calculating the magnetization intensity of a magnetoabrasive powder particle and cylindrical ferromagnetic work placed in a magnetic powder medium. Formulas are derived for calculating the forces acting on a spherical powder particle during the MAP of a cylindrical part made of a ferromagnetic material.