A mathematical model between the length of bi-actuating mechanisms and the orientation of moving nozzle is established in this investigation. For the purposes of analysis and control, both forward and inverse numberical analytical schemes are developed to solve this mathematical model. The schemes are also developed to solve problems of the different performance of actuators, the installation deviation of actuators, and the rotation freedom of moving nozzle. Finally, the numberical analysis process is used to study the orientation error induced by those problems. The numberical analysis results show that the installation deviation of actuators and the rotation freedom of moving nozzle would have great influence on the orientation precision of thrust vector control system. Therefore, an appropriate control on both actuator installation deviations and nozzle rotation is necessary for achieving an acceptable orientation precision in the thrust vector control system.