弹丸空气阻力定律全定义域解析函数经验公式

Empirical Formulas of Projectile Air Resistance Law in Whole Definition Domain in Analytic Function

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1st Opt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%。

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 1st Op 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.