高炮射弹飞行时间非整数次幂拟合

Research on the Shell Flight-time Fit of Anti-aircraft Gun by using Fractional Exponential

在高炮射弹飞行时间整数次幂拟合研究的基础上,用修改参数幂的次数的方法对拟合问题进行了研究。通过对比分析整数次幂和非整数次幂拟合的计算精度,得出了非整数次幂逼近拟合能消除龙格现象,使用非整数次幂进行拟合可使精度提高的结论。给出了非整数次幂拟合的方法及确定次数取值的方法、步骤,并给出了相关例子。结论对其他口径高炮的射弹飞行时间拟合也基本适用。

On the basis of fitting the shell flight-time of anti-aircraft gun by integral exponential, this paper researches into the problem on changing the exponents of the parameter. By analyzing the compute results of the integral-exponent-function and the fractional-exponent-function, conclusion is obtained that the second will improve the precise for its superiority in avoiding ＂Romberg＂ phenomenon. The paper shows the method how to use the fractional-exponent-function on fitting, and gives a progress of getting the exponent＇s value. The conclusion can also be applied to fit the shell flight-time of other caliber anti- aircraft guns on the whole.