Theoretical Error of Bearing Method in Artillery Sound Ranging

Abstract

The goal of this paper is to investigate the theoretical error of bearing process implemented in the artillery sound ranging, adopted by the Armed Forces of Ukraine. The formal mathematical model which describes the dependence of this theoretical error is deduced on the basis of the analysis the geometry model of sound ranging process. The analysis of this mathematical model allows computing the minimum distance to target for all angles of bearing, which provides efficient implementation of sound metric stations, namely domination of instrumental error of these sound metric stations over the evaluated theoretical error.