This work deals with the development of a new gamma detector based on Silicon Drift Detectors (SDDs) to read out large (3”×3”) LaBr3:Ce scintillators for gamma-ray spectroscopy for astronomy applications, an activity supported by European Space Agency (ESA). SDDs, characterized by high quantum efficiency and low electronic noise, are good candidates in applications with a wide energy range of gamma rays to be detected from 150keV to 15MeV. A first prototype is under development with the aim to achieve an energy resolution of 3% FWHM at 662 keV. The SDDs are designed as monolithic arrays of 3x3 units, each one of an active area of 8mm x 8mm (total array area of 26mm x 26mm). To cover the large surface of the 3”×3” LaBr3:Ce scintillator the m...