An optimum design method for clearances between rockets and launching tubes based on minimizing initial disturbances

Aiming at rocket/launcher systems, the dynamic equations for rocket and launching tube were constructed by using Newton-Euler method. A program for solving these equations was compiled based on MATLAB. Then influence of clearances between rockets and launching tubes on initial disturbances of rockets was analyzed. The optimal solution of clearances between rockets and launching tubes was obtained by using quadratic regression model. The calculation results show that initial disturbances and angle velocity were quadratic function of clearances between rockets and launching tubes. The optimum value of clearances was the solution of the homogeneous equation formed by the quadratic function. This method can provide reference for design of rocket/launcher systems.