A new diagnostic technique to obtain the cold plasma density profile in the magnetosphere is introduced. This method uses satellite measurements of group delay and pulse duration of VLF signals from ground transmitters in conjunction with a detailed ray tracing analysis. An iterative method is involved. This method starts with an approximate density profile, computes the ray paths for that profile, and then compares the properties of the rays that reach the satellite location with the actual satellite measurements. The density profile is then modified to account for any discrepancies between the two results. The same process is repeated with the new profile until one has reasonable agreement between the data and ray tracing results. This method is applied to the case of an Imp 6 pass on June 28, 1973, where strong signals from the Siple VLF transmitter were observed for over 25 min. Good agreement is found between the results of the new technique and the well-known ground whistler techniques of cold plasma diagnostics. The results also serve to illustrate the wide diversity paths of propagation from ground transmitters to high-altitude satellites during VLF wave injection experiments.