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Method of Conversion for the Ballistic Coefficient of Bullets
Strength of Materials ( IF 0.7 ) Pub Date : 2020-08-19 , DOI: 10.1007/s11223-020-00193-8
I. B. Chepkov , A. V. Hurnovych , S. V. Lapyts’kyi , B. O. Oliiarnyk , V. H. Trofymenko , O. A. Maistrenko

A method is examined that permits the ballistic coefficient (BC) of a bullet to be converted based on universal expressions: in the Ciacci law and the air drag law of 1943, i.e., within the framework of laws that extend to the territories of the former USSR countries; to the standards G7 and G1, i.e., within the framework of standards that are the most-used worldwide; in the air drag law of 1943 and to the standard G7, i.e., bringing a BC value to the form that is used on the territories of the former USSR countries (including Ukraine) or to the most-used form worldwide (including NATO member-countries). The relation is formulated on the basis of the central design of an experiment that describes the range of values for an examined process. The above approach enables BC to be brought to an easy-to-use form on the basis of its known value in any law (or to a standard) for analysis of exterior-ballistic characteristics or computations of a bullet velocity at an arbitrary range during field tests of armored targets without bulky equipment for bullet velocity measurements. An examined process is reliably described with the approved mathematical model of bullet motion in air, as the solid body motion, based on the system of four differential equations of the first order. The adequacy of empiric expressions is verified by estimating the standard deviation of values gained with the mathematical model of bullet motion and polynomial as well as by their comparison with the accuracy of determining the ballistic coefficient (no more than 10-3 for the G7 and G1 standards and no more than 10-2 for the Ciacci and 1943 laws).

中文翻译:

子弹弹道系数的转换方法

研究了一种方法,该方法允许根据通用表达式转换子弹的弹道系数(BC):在恰恰奇法则和1943年的空中阻力法则中,即在扩展到前者领土的法律范围内苏联国家;符合G7和G1标准,即在全球使用最广泛的标准框架内;遵循1943年的空中阻力法和G7标准,即,将BC值带到前苏联国家(包括乌克兰)领土上使用的形式或全球范围内最常用的形式(包括北约成员国,国家)。该关系是根据实验的中心设计制定的,该实验描述了所检查过程的值范围。上述方法使BC可以根据其在任何法律(或标准)中的已知值,以易于使用的形式进行分析,以用于分析外部弹道特性或计算弹道速度。无需笨重装备的装甲目标的实地测试,即可进行子弹速度测量。基于一阶四个微分方程的系统,使用批准的空气中子弹运动的数学模型作为固体运动,可以可靠地描述检查过程。通过估计由子弹运动和多项式数学模型获得的值的标准偏差,以及通过与确定弹道系数的精度进行比较(不超过10个),来验证经验表达式的适当性对于G7和G1标准为-3,对于恰恰奇和1943年法律,不超过10 -2)。
更新日期:2020-08-19
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