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DING T B , HE Z , WANG L M , et al. Calculation method of firing trajectory of high spinning projectile adapted to wide altitude [J ] . Acta Armamentarii , 2021 , 42 ( 1 ): 209 - 213 . (in Chinese) DOI: 10.3969/j.issn.1000-1093.2021.01.024 http://doi.org/10.3969/j.issn.1000-1093.2021.01.024 A new method which gives priority to the idea of theoretical calculation and simulation with data of a few tests is proposed to improve the traditional method of firing table development which depends on live firing test radically. A nonlinear motion equation of projectile coupled attitude is established, which is used to calculate the influence of initial disturbance on mean trajectory. The model of the variation of projectile resistance coefficient with the altitude is improved on the basis of the relational model of the ballistic coincidence coefficient and the firing angle of gun. Based on the feature information extracted from a few of high-precision ballistic test data, the theoretical calculation firing table is modified to achieve higher precision. In order to reduce the principle error of the intersection for two firing tables used on plateau and plain individually, a method of smoothing the connection of two firing tables is created. The correctness of the proposed method is proved by the results of the live fire tests, and the precision of the firing table is high enough, which is fully suitable for the applications at the altitude from 0 m to 4 500 m.

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钱林方 , 陈光宋 , 王明明 . 弹丸在炮口的状态参数对地面密集度影响研究 [J ] . 兵工学报 , 2020 , 41 ( 5 ): 833 - 841 . DOI: 10.3969/j.issn.1000-1093.2020.05.001 http://doi.org/10.3969/j.issn.1000-1093.2020.05.001 为了分析无动力飞行弹丸在炮口的状态参数误差对地面密集度影响，基于6自由度刚体外弹道方程，考虑弹丸参数和炮口状态参数误差因素，利用稀疏网格数值积分（SGNI）方法求解弹丸落点散布的统计特性参数，并采用最大熵估计方法获得弹丸落点散布的概率密度函数。测试算例表明，该方法的计算结果与蒙特卡洛方法获得的结果相吻合，验证了SGNI方法和最大熵估计方法的有效性；在此基础上分析了某155 mm加榴炮弹丸在炮口的状态参数误差对地面密集度影响，并分别建立了弹丸在炮口的单参数误差、多参数误差与地面密集度之间的映射模型，可为火炮射击密集度总体设计提供参考。

QIAN L F , CHEN G S , WANG M M . The effects of initial state parameters of projectiles at muzzle on their ground dispersion [J ] . Acta Armamentarii , 2020 , 41 ( 5 ): 833 - 841 . (in Chinese) DOI: 10.3969/j.issn.1000-1093.2020.05.001 http://doi.org/10.3969/j.issn.1000-1093.2020.05.001 The effects of the state parameters of projectiles at muzzle on the dispersion of projectiles are analyzed. Based on the six-degree-of-freedom ballistic equations, the sparse grid numerical integration (SGNI) method is used to obtain the characteristic paramerers of projectiles dispersion considering the error factors of system parameters and the state parameters of projectile at muzzle. The probability distribution of projectiles dispersion is obtained by using the the maximum entropy method. The test examples show that the results obtained by the SGNI method are in good agreement with those obtained by Monte Carlo method, and verify its effectiveness. In addition, an engineering example of 155 mm gun-howitzer is ananlyzed, and the the relation between single state parameter error and multi-state parameter error and the projectiles dispersionis established, which can be provided as reference for the overall design cosidering the dispersion of projectiles. Key

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