Annotations languages:

** Description:** The article discusses methods of determining weight functions for various meteorological factors, the replacement of exact weight functions with approximate ones is proposed and, on the basis of this, the calculation of ballistic averages is made by the average values of meteorological elements taken from the bulletin "Meteosrednii". Tabular corrections (correction coefficients) are calculated under the condition that the deviations of meteorological elements from their table values are the same at all heights. Under natural conditions, deviations of meteorological elements within the maximum height of the trajectory are almost never the same. The calculation of the corrections for firing can be made directly from the deviations of meteorological elements that are variable-height. However, these calculations will be quite complex and time consuming. Therefore, to calculate the corrections, the actual deviation of the meteorological element, which is variable-height, is replaced by the conditional, the same at all heights within the specified trajectory. This conditional deviation is chosen so that it is in its effect on the range and direction of flight of the projectile (rocket) was equivalent to the effect of deviations of the meteorological element that are actual and different at different heights. The conditional deviation of the meteorological element chosen in this way is called the ballistic medium. A method for calculating the "weights" of stratums, taking into account the ballistics of projectiles using a system of differential equations, is proposed. The principle of weight functions for bombardment and rocket artillery is considered. Military methods of calculating ballistic averages that can be used in the troops in practical calculations are proposed.

**
Keywords:
** stratum weight, weight functions, ballistic averages, weight coefficients, errors in the determination of deviations of meteorological elements, total median errors in the determination of ballistic averages, ballistic wind within the active part of the trajectory.

1.Benevolskij, S.V., Burlov, V.V. and Kazakovcev, V.P. (2005), “Balistika” [Ballistika], GRAU, Penza, 510 p.

2.Dmitrievskij, A.A. and Lysenko, L.N. (1978), “Prikladnye zadachi teorii optimalnogo upravleniya dvizheniembespilotnyh letatelnyh apparatov” [Applied problems of the theory of optimal motion control of unmanned aerial vehicles], Mashinostroenie, Moscow, 328 p.

3.Ermolaev, S.I., Komarov, L.B. and Churbanov, V.V. (1958), “Vnutrennyaya ballistika” [Internal ballistics]. VMAim. A.Krylova, Leningrad, 325 p.

4.Zubkov, A.F., Kurkov, S.N. and Chernov, V.V. (1994), “Vnutrennyaya ballistika stvolnyh system” [Internal ballisticsof barrel systems], VAIU, Penza, 210 p.

5.Pravdin, V.M. and Shanin, A.P. (1999), “Ballistika neupravlyaemyh letatelnyh apparatov” [Ballistics of uncontrolledaircraft], Snezhinsk, RFYaC, 307 p.

6.Churbanov, V.E. (1975), “Vnutrennyaya ballistika” [Internal ballistics], VAOLKA, Leningrad, 291 p.

7.Dmitrievskij, A.A. and Lysenko, L.N. (2005), “Vneshnyaya ballistika [External ballistics], Moscow,Mashinostroenie, 607 p.

8.Makejev, V.I. Pushkarjov, Ju.I. and Voronjko, V.V. (2014), “Rukh centra vaghy nekerovanoji rakety na aktyvnijdiljanci trajektoriji” [Movement of the center of gravity of the unmanaged rocket in the active section of the trajectory], Scientific Works of Kharkiv National Air Force University, No. 2(39), pp. 8-13.

9.Makeyev, V.I. (2008), “Matematichna model prostorovogo ruhu litalnogo aparata na tverdomu palivi v atmosferi”[Mathematical model of the spatial motion of an aircraft on solid fuel in the atmosphere], Visnik SumDU, No. 2, рр. 5-12.

10.Orlov, B.V. (1978), “Vneshnyaya i vnutrennyaya ballistika aktivno-reaktivnyh snaryadov” [External and internalballistics of active rockets], Izdatelstvo CNII Informacii, Moscow, 134 p.

11.Vencel, E.S. (1964), “Teoriya veroyatnostej” [Probability theory], Nauka, Moscow, 572 p.

12.Makeev, V.I. and Trofimenko, P.E. (2012), “Metodika opredeleniya popravok na nelenejnost i vzaimovliyanievozmushayushih faktorov” [Methodology for determining corrections for non-linearity and mutual influence of disturbing factors], Electronic Modeling, No. 1(34), рр. 109-119.

Makeiev, V.I., Petrenko, V.M., Zhytnyk, V.Ye., Raskoshnyi, A.F. and Maiboroda, Yu.M. (2019), “Metodyka vyznachennia balistychnykh serednikh dlia stvolnoi i reaktyvnoi artylerii” [Methodology for determining ballistic medium for bombardment and rocket artillery],