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本文利用欧拉法中对阻力函数的假设,来分段进行计算弹道诸元。利用此法不仅可以计算火箭在起始段上弹道诸元,而且还导出计算火箭在主动段和被动段上弹道诸元的公式。考虑到当前微型计算器和可编程序计算器被大量采用,所以除了给出便于利用微型计算器进行计算的结果外,还对43年阻力定律给出阻力系数的解析式。文中的结果是利用“TI-59”可编程序计算器进行计算的。通过大量计算和同数值积分结果进行对比,可以看出此法还是可行的。
In this paper, the Eulerian law on the assumption of resistance function, to segment the ballistic elements. This method can not only calculate the rocket trajectory in the initial paragraph, but also derive the formula to calculate the rocket trajectory in the active segment and the passive segment. Considering that the current micro-calculators and programmable calculators are widely used, in addition to the results that are easy to be calculated by the micro-calculators, an analytical formula of the drag coefficient for the 43-year resistance law is given. The results in this paper are calculated using the “TI-59” programmable calculator. Through a large number of calculations and numerical integration with the numerical comparison, we can see that this method is still feasible.