This paper studies the dynamic retrieval process of a towed target system under perturbation by simulating the reel-in operation under the towing airplane’s wake and atmospheric turbulence. To settle the computational problem of cable tension, the constant-length method is proposed to transform this variable-mass problem into a constant-length problem based on a mass-spring model that discretizes the cable. A three-dimensional atmospheric turbulence field is built using a recursive function to model the complex perturbation field along the cable. A horseshoe vortex model is adopted to simulate the towing airplane’s wake. Simulation analysis shows that both the reel-in speed and turbulence significantly affect the retrieval deviation, whereas the airplane’s wake has little influence. The reel-in speed should be chosen in concert with the turbulence intensity to achieve a high retrieval success rate. Moreover, a higher reel-in speed is preferred to maintain cable strain and smoothen the process when the retrieval tolerance is satisfied.

中文翻译：

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拖曳飞机尾流和大气湍流作用下拖曳目标系统的动态反演过程仿真

本文通过模拟牵引飞机尾流和大气湍流下的收卷操作，研究了扰动下牵引目标系统的动态反演过程。为了解决索张力的计算问题，提出了基于离散索的质量-弹簧模型将这种变质量问题转化为定长问题的定长方法。使用递归函数构建三维大气湍流场，以模拟沿电缆的复杂扰动场。采用马蹄涡模型来模拟牵引飞机的尾流。仿真分析表明，收卷速度和湍流对反演偏差影响显着，而飞机尾流影响不大。应根据湍流强度选择收卷速度，以实现较高的检索成功率。此外，在满足收回容差时，优选较高的卷取速度以保持电缆应变并使过程平滑。