利用外弹道微分方程组实时快速解算高炮理论弹道的研究

高炮外弹道微分方程组的实时解算一直是火控领域中一项重点的研究课题.这里,详细地阐述了高炮打击空中运动目标时的解相遇命中方程,并介绍了以弹丸质心运动为模型的外弹道微分方程组.同时,给出了使用龙格-库塔算法对其进行实时积分解算的流程.通过对37mm高炮弹道的仿真实例,证明利用微分方程组解算高炮的射击诸元具有实用性强、精度高等优点.

Research on the Theoretical Trajectory of Antiaircraft Artillery of the Real-Time Solution Using Differential Equations of Exterior Ballistic

The real-time solution for differential equations of exterior ballistic on antiaircraft artillery is an important research problem in fire-control domain. This paper expatiates detailedly encounter equation of shooting movement target in the air and introduces the differential equations of exterior ballistic according to the model of mass center motion of projectile. Moreover, it also gives the flow of real-time integral solution by the Runge-Kutta algorithm. Through the examples of ballistic simulation on the 37 mm antiaircraft artillery, it is verified that the accuracy and practicability of this algorithm used to calculate the firing elements are better.