导弹突防电子假目标弹道特性的数学分析

 推导了二体意义下电子(有源)假目标的弹道方程并系统地分析了其满足的数学性质.研究表明假目标弹道是干扰机延迟参数和雷达相对布站位置共同作用的结果.假目标在每一瞬时时刻仍遵循椭圆弹道,并且椭圆弹道的长短半轴和干扰机实体目标一致,但瞬时椭圆弹道的中心却围绕地心作轻微"进动",干扰机延迟参数决定了椭圆中心"进动"的最大半径,而雷达布站位置则决定了"进动"变化的角度.本文的分析结果可以为攻防双方选择合理的对抗措施提供一定的理论依据.

Mathematical Analysis of Trajectories for Ballistic-Missile-Penetration Electronic Decoys

The dynamics model of electronic (active) decoys in exo-atmospheric flight is derived and the corresponding mathematical characteristic is analyzed in detail.It is found that the orbit of decoys is determined both by the radar position and the delay parameter of jammer.The decoy at every time instant still follows the law of elliptical orbit,with the semi-major and semi-minor axes in accordance with the physical targets,but the instantaneous elliptical center precesses around the Earth center.The delay parameter of the jammer determines the maximum radius of the precession while the radar position determines the varying angle of precession.This analysis can provide both countermeasure sides with theoretical basis when selecting a suitable countermeasure method.