The Use Of Computer Algebra And NonlinearOptimization For Real Time Computation OfFire Orders For Direct Fire

For real time calculation of flat fire trajectories, a simple and efficient mathematical model is developed by using computer algebra systems. These systems not only allow one to find analytical solutions to difficult mathematical problems, but are also able to generate runtime-optimized C code. Therefore, it was possible to develop a real time code for the solution of flat fire problems. This code includes influences given by the thermodynamic state of the atmosphere, wind of any strength and direction and shooting at higher or lower targets. For finding the appropriate ballistical coefficients of our model, a two dimensional non-linear global optimization was necessary. The results of our flat fire code are compared with a number of NATO standard ballistic tables.