| 弹丸空气阻力定律全定义域解析函数经验公式 |
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| 引用本文： | 倪庆乐,王雨时,闻泉,张志彪. 弹丸空气阻力定律全定义域解析函数经验公式[J]. 弹箭与制导学报, 2017, 36(6). DOI: 10.15892/j.cnki.djzdxb.2016.06.025 |
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| 作者姓名： | 倪庆乐 王雨时 闻泉 张志彪 |
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| 作者单位： | 南京理工大学机械工程学院,南京,210094 |
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| 基金项目： | 江苏省2015年度普通高校研究生科研创新(实践)计划项目 |
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| 摘 要： | 为找出1943年弹丸空气阻力定律、航弹阻力定律在全定义域内的有理解析函数经验公式,从而便于通过计算机编程进行外弹道数值解算和求解析解,运用1stOpt数学软件对1943年弹丸空气阻力定律和航弹阻力定律在其全定义域内进行了曲线拟合,对应各阻力定律得到了通用于全定义域的有理解析函数经验公式.这些经验公式均不再分段.其中拟合1943年弹丸空气阻力定律的经验公式最大相对误差为3.271%,拟合高阻和低阻航弹阻力定律的分别为1.914%和3.328%.
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| 关 键 词： | 外弹道学 经验公式 空气阻力 阻力定律 阻力系数 |
Empirical Formulas of Projectile Air Resistance Law in Whole Definition Domain in Analytic Function |
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| NI Qingle,WANG Yushi,WEN Quan,ZHANG Zhibiao. Empirical Formulas of Projectile Air Resistance Law in Whole Definition Domain in Analytic Function[J]. Journal of Projectiles Rockets Missiles and Guidance, 2017, 36(6). DOI: 10.15892/j.cnki.djzdxb.2016.06.025 |
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| Authors: | NI Qingle WANG Yushi WEN Quan ZHANG Zhibiao |
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| Abstract: | In order to find out rational analytic function empirical formulas of projectile air resistance law and aerial bombs resistance law in 1943 in the whole definition domain to proceed numerical calculation of exterio trajectory and analytical solution by computer programming, using 1stOp mathematical software was used to fit curves of projectile air resistance law in 1943 and aerial bombs resistance law in the whole definition domain.Rational analytic function empirical formulas common to the whole definition domain was got corresponding to the resistance laws.These empirical formulas are no longer segmented.The maximum relative error of empirical formula fitting projectile air resistance law in 1943 was 3.271%, and the maximum relative error of empirical formula fitting high resistance aerial bomb and low resistance aerial bomb air resistance law were 1.914% and 3.328% respectively. |
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| Keywords: | exterior ballistics empirical formula air resistance resistance law resistance coefficient |
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