Reflectarray antennas are becoming a popular technology , in particular for what concerns space applications. In this paper a technique for the synthesis of low profile reflectarray for space application is proposed and demonstrated in the context of an S-band design. It consists of the construction of a reduced bijective database, obtained by selecting a very limited set of Phoenix cells with minimal frequency dispersion. The geometrical continuity requirement between cells presenting close phase shifts has to be ensured as well. This kind of database is particularly applicable to narrowband applications, which would include reflectors for scientific space missions.