In order to describe the coupling kill zone in fleet coordinate air defense quantitatively, the depth and shape of it is studied. The characters of kill zone in single ship air defense is analyzed, the typical formation of fleet air defense is studied, and the hierarchical closed circle theory that hierarchical multi-layer in longitudinal direction and coupled of same order in latitudinal direction is given. According to the zero and none zero airway shortcut, the calculation model of first order coupled kill zone depth is brought forward. And it is extended to higher order. The sensitiveness of spacing interval and azimuth angle to the coupled kill zone depth is simulated. Results show that the model can be instructive.%针对舰艇编队协同防空时的耦合杀伤区形状及纵深等问题进行了研究,以定量地对编队耦合杀伤区进行简化描述.分析了单舰对典型目标的杀伤区特性,探讨了舰艇编队的典型防空队形,研究了纵向上递阶多层次、横向上同阶耦合的"递阶封闭圈原理".以一阶耦合杀伤区为重点,依据攻击目标的不同,将其分成相对航路捷径为零和相对航路捷径均非零两类情况建立了耦合杀伤区纵深的计算模型,并扩展到了高阶耦合的情况.研究了耦合杀伤区与舰舰间距和来袭目标进攻舷角等参数的相互关系以及灵敏度.结果表明建立的模型符合实际,具有一定的指导意义.
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