Models and Methods for Three External Ballistics Inverse Problems

Abstract

We consider three problems of selecting optimal gun barrel direction (or those of selecting optimal semi-axis position) when ring an unguided artillery projectile on the assumption that the gun barrel semi-axis can move in a connected nonconvex cone having a non-smooth lateral surface and modelling visibility zone restrictions. In the rst problem, the target is in the true horizon plane of the gun, the second and the third problems deal with some region of 3D space. A distinctive feature of the models is that the objective functions areε-Lipschitz ones. We have constructed a unied numerical method to solve these problems based on the algorithm of projecting a point ontoε-Lipschitz level function set. A computer programme has been based on it. À series of numerical experiments on each problem has been carried out.