Abstract: Taking a short range air to air missile as an example, aiming at the problems of low accuracy, complex model and enormous time cost in calculating the missile’s envelope with traditional methods, the important parameters affecting the shape and size of the launch envelope are analyzed, and a simplified six degree of freedom motion model of missile is established. When searching the envelope boundary, eight significant motion parameters are considered synthetically for the exponential polynomial function, and the initial search space is estimated roughly to avoid the blindness. Based on the golden section method, the exponential optimization search algorithm is proposed to update and optimize the golden section value of the next search. The ballistic trajectory is solved using the model and simulation with Matlab, then the distance polynomial coefficients are further optimized by the searched boundary values to improve the accuracy of the next initial space. The experimental results show that the trajectory and launch envelope calculated by the method in this paper are basically consistent with the data in actual combat, which effectively improves the calculation accuracy, and the exponential optimization search algorithm effectively reduces the number of simulation calculations and saves the overall time.

Key words:

Short range air to air missile, Launch envelope, Trajectory simulation, Exponential optimization, Golden section method