针对三维空间中航线与雷达威力范围交点的求解问题,在已有航空兵突防视景仿真研究成果的基础上,研究了雷达 威力范围与飞机航迹的关系,建立了雷达三维威力范围函数表达式以及以地理坐标为变量的航线方程。同时,提出了参 数方程变换算法,将包络函数表达式和航线方程都转化到雷达空间直角坐标系中,并利用数值解法解决了联立方程组中 出现超越方程的问题。采用Matlab进行仿真验证,结果表明算法的可行性和有效性。

In allusion to solve the problem how to calculate the point of intersection between power range of radar and flight path in the three-dimensional space,on the base of air force visualization simulation production in existence,the relationship between power range of radar and flight path is studied, then the function expression for the power range of radar and the flight path equation which is based on the geographic coordinates are established. Meanwhile the parametric equation transform arithmetic is given, which converts the function expression and the flight path equation to the orthogonal coordinates and uses the numerical solution to solve the transcendental equations problem. Using Matlab to simulate and validate,the feasibility and validity is indicated.