A significant effort has been carried out in Europe to define the European Global Navigation Satellite System (GNSS), named Galileo Satellites flying in Medium Earth Orbits (MEO) will compose the system (according to the most recent architecture definition baseline); a regional complement of geosynchronous satellites may be required to increase performances over Europe and maybe also to provide some specific communication services. Nominal medium performances are envisaged, but they will be increased by means of augmentation systems (local or wide area), or even by using simultaneously other GNSSs such as GPS. All the involved requirements make the design process quite complex. A powerful software tool, Elcano, has been developed for this purpose; its capabilities will be outlined, and the results of the design process will be presented. © 2001 John Wiley & Sons, Inc.