This paper evaluates the dynamic performance of a Two Axes Cardanic Gyroscope, based on the development of its equation of motion, considering possible manufacturing imprecisions or geometric variations on the expected geometry. Simulation results of a real guided vehicle system are used to compare with those obtained from the analytical model, in order to determine the origin of discrepancies. The simulation will allow the specification of manufacturing tolerances based on the needed precision of the dynamic behavior to keep small the overall cost. Special attention is dedicated to the influence of geometric parameters in the measurement accuracy of a two axes cardanic gyroscope, such as the eccentricity of the center of gravity of its rotor, when located inside a guided vehicle that experiences a high longitudinal acceleration and performs afterwards a specific manoeuvre. Two hypothesis for the analytical description will be explored, one considering the gyro rotor free in space and the other including the inner gimbals inertia and friction influences, while all components are considered rigid. This will show the need for a more precise model. An implementation Is presented, testing some geometric parameters, with the purpose of showing the results properly, in order to allow the mathematical model validation.