通用变步长弹道仿真方法研究

Research on General Variable Step-size Ballistic Simulation Method

为适应新型弹道导弹高速、灵活、精确的发展趋势,进一步提高弹道仿真方法的精度和实时性,在Runge-Kut-ta转Adams算法中,引入变步长积分的思想,推导出通用的变步长Runge-Kutta转Adams预估校正公式系,研究了满足误差精度的仿真步长的动态求解方法,提出了预报关键点弹道诸元的自适应变步长算法,给出了步长选择原则.通用变步长Adams算法克服了传统Adams算法无法改变步长的缺陷,在确保弹道仿真精度的前提下,提高了仿真的实时性.

To satisfy the precision and instantaneity of ballistic simulation method to adapt new-type ballistic missile with high-speed,flexibility and accuracy,the variable step-size ideology was introduced in ballistic simulation.A general variable step-size Runge-Kutta to Adams predictor-corrector algorithm was brought forward.Based on error precision,the solution to variable step-size was researched.Furthermore,to predict interesting point,a variable step-size self-adaption algorithm was proposed as well as step-selection principles.The variable step-size method overcomes the shortcomings of traditional Adams method with fixed steps,and it effectively improves the instantaneity of ballistic simulation while retaining the precision.