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We consider three problems of selecting optimal gun barrel direction (orthose of selecting optimal semiaxis position) when firing an unguided artilleryprojectile on the assumption that the gun barrel semiaxis can move in aconnected nonconvex cone having a non-smooth lateral surface and modellingvisibility zone restrictions. In the first problem, the target is in the truehorizon plane of the gun, the second and the third problems deal with someregion of 3D space. A distinctive feature of the models is that the objectivefunctions are $\varepsilon$-Lipschitz ones. We have constructed a unifiednumerical method to solve these problems based on an algorithm of projecting apoint onto $\varepsilon$-Lipschitz level function set. A computer program hasbeen based on it. A series of numerical experiments on each problem has beencarried out. App. 1.

Models and Methods for Three External Ballistics Inverse Problems