Abstract

A semiempirical mathematical model of motion of the center of mass of a spinning projectile in the atmosphere is proposed. This model takes into account the effects of the derivation and change in the frontal resistance due to variation in the angle of attack. These effects are accounted for without a detailed description of spinning in our model, which allows using a large integration step and provides the capability of real-time computation of ballistic corrections. The selection procedure of the model parameters for real weapon systems is described in detail.

中文翻译：

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旋转弹丸运动的数学模型

摘要

提出了一个旋转的弹丸质心在大气中运动的半经验数学模型。该模型考虑了由于迎角变化而导致的正面阻力的变化和变化的影响。这些影响是在没有对模型中的旋转进行详细描述的情况下解决的，该模型允许使用较大的积分步骤并提供实时计算弹道修正的功能。详细描述了用于实际武器系统的模型参数的选择过程。