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应用兰彻斯特理论研究了编队歼击机超视距截击的效能评估问题.对照兰彻斯特理论假设条件与超视距截击背景,使用第二线性律与平方律分别描述了截击空战的探测阶段与射击阶段.以最大损失交换比为原则,将火力分配引入到评估模型中.利用机载雷达的探测概率与空空导弹的击毁概率,分别建立了每架飞机探测效能与射击效能的动态模型.算例表明,突击方护航歼击机的价值系数显著影响拦截方的火力分配,拦截方选择先攻击护航歼击机再攻击歼击轰炸机的战术,采取电子对抗措施,提高飞机生存力均可提高截击效能,该模型计算简便、合理有效.
Lancaster theory was used to study the performance evaluation of formation-fighter over-the-horizon intercepts.According to Lanchester’s theoretical assumptions and over-the-horizon intercept background, the second linear law and square law were used to describe the detection stage And firing stage, the fire loss distribution is introduced into the assessment model based on the principle of maximum exchange loss.A dynamic model of detection efficiency and shooting efficiency of each aircraft is established by using the detection probability of airborne radar and the probability of destruction of air-to-air missile. The example shows that the value coefficient of the assault fighter fighter has a significant impact on the firepower distribution of the interceptor. The interceptors choose the tactics of attacking the fighter and then attacking the fighter-bomber first, and adopting the electronic countermeasure to improve the survivability of the aircraft can improve the interception efficiency. Calculation is simple, reasonable and effective.