The subsequent thesis aims to offer the theoretical basis on which the MATLAB code for the Start-Up HyImpulse Technologies has been written, concerning the design and analysis of combustion chamber behaviour in composite material for a hybrid mini-launcher. At first, it is provided with an overview of the socio-economic reasons for which investment in the design of such launchers stimulates promising expectations. Space-Works and Euroconsult economic forecasting predictions are examined. Subsequently, the reader is introduced to the types of materials available and adopted for combustion chambers. Specifically, the characteristics for polymer matrix materials with carbon fibre reinforcement, for the case, and glass fibre, for the insulation, are analyzed.