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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。
Aiming at the problem of solving the intersection of airlines and radar power range in three-dimensional space, the relationship between the radar power range and the flight path is studied based on the research achievements of the existing air defense penetration simulation scene. The expression of the range function of radar three-dimensional power is established As well as the geographical coordinates as a variable route equation. At the same time, a parametric equation transformation algorithm is proposed, which transforms the envelope function equation and the course equation into the radar rectangular coordinate system, and solves the problem of transcendental equations in simultaneous equations by means of numerical solution. Using Matlab simulation, the results show that the algorithm is feasible and effective.