Inductance calculations are the foundation in the analysis of linear induction launchers.Based on the mesh-matrix method,the primary approaches and formulas for the inductance calculations of coils are presented.In the course of studying a three-phase linear induction launcher,mathematical arrays of primary and secondary inductance are developed.The mutual inductance between primary and secondary coils and their gradients are calculated.The mutual inductance profiles and the mutual inductance gradients profiles are shown.The comparisons between numerical and experimental results of the inductance show that there is a slight difference between them,and the mesh-matrix method can meet the project's demands,and can provide an efficient way to analyze the electromagnetic coil launcher.Representation of the profiles of the mutual inductance and their gradients is of advantage to apprehend the linear induction launcher.