超音速弹丸低伸弹道的近似解析解

Approximate Analytical Expression of Supersonic Projectile Low Trajectory

针对引信和弹药试验用超音速弹丸低伸弹道诸元求解过程较为复杂的问题,利用超音速段空气阻力定律有理式函数经验公式求解弹丸低伸弹道质心运动方程组,提出了超音速弹丸低伸弹道诸元中速度与时间的解析函数式。该解析式编程简单,应用方便。实例表明,所得到的超音速弹丸低伸弹道诸元近似解析解公式具有较高的求解精度。

For the problem of low trajectory parameters of supersonic projectile for fuze and ammunition test so-lution was complicated, rational empirical formulas for air resistance law of projectile at supersonic section was uesed to solve mass center motion equations of low trajectory, a analytic function of speed and time of low trajec-tory for supersonic projectile was present. The analytic function was simple to program and convenient to use. Examples showed that approximate analytic expression of low trajectory for supersonic projectile had higher ac-curacy.