Some problems with numerical calculations of the meteo-ballistic sensitivity functions and their solutions

摘要

Projectile trajectories calculated under non-standard conditions are considered to be perturbed. Tools utilized for the analysis of perturbed trajectories are sensitivity functions: effect functions, weighting factor functions (WFFs) and appropriate Green's functions. These functions are used for calculation of meteo ballistic elements μ_B (ballistic wind vector w_B, virtual temperature T_B, density P_B) as well. Since 2013 we are working on improving the theory of these functions. We published the improved theory of generalized meteo-ballistic WFFs in the journal Defence technology in the year 2016 and then the improved theory of projectile trajectory reference heights in the year 2017. Using these theories will improve methods for designing firing tables, fire control systems algorithms, and meteo message generation algorithms. This contribution complements the previous two articles and is dedicated to the key problems of numerical calculations of the sensitivity functions.