跳跃-滑翔弹道扰动引力自适应网格快速赋值方法

Adaptive grid fast assignment method for gravity anomaly of skip-gliding trajectory

为实现高超声速跳跃-滑翔弹道扰动引力的快速赋值,提出自适应网格赋值模型,并根据反距离加权理论,优化广义延拓逼近算法,对模型的逼近误差进行分析。该赋值模型的网格划分为两级,第一级网格根据标准弹道空域进行划分,第二级网格根据滑翔导弹实际弹道在线生成。根据一级网格节点数据,通过优化广义延拓逼近算法计算二级网格节点数据,最后根据二级单元内插计算实际弹道点的扰动引力值。仿真结果表明:在同等大小的网格划分下,优化广义延拓自适应网格模型的逼近精度高于一般赋值方法;在同等精度要求下,该赋值模型的最大单元格边长大于一般赋值方法,从而减少了单元格划分数量,进而降低弹上数据存储量;针对不同滑翔方向以及不同滑翔距离的跳跃-滑翔弹道,该模型逼近误差对应的落点偏差小于5 m,具有较好的适应性。该赋值模型在满足计算速度的前提下,提高了传统赋值方法的逼近精度,降低了弹上存储量,具有一定的工程应用价值。

In order to achieve fast assignment of gravity anomaly for skip-gliding trajectory in hypersonic speed,an adaptive grid assignment model was proposed,and the generalized extension approximation algorithm was optimized based on the inverse distance weighting theory,the approximation error of the model was analyzed as well.The space of the assignment model was divided at two levels.The first level grid was divided according to the standard ballistic airspace,and the second level adaptive grid was built online according to the actual trajectory of the missile.According to the data of the first level grid nodes,the data of the second level grid nodes were calculated by optimized generalized extension approximation algorithm.Finally,the gravity anomaly value of the actual ballistic points was calculated by interpolation algorithm within the second level grid.The simulation results show that the approximation accuracy of the optimized generalized extension adaptive grid model is higher than that of the general assignment method under the grid with same size.Under the same precision,the maximum grid length of the assignment model is larger than the general assignment method,which can the number of grid division and the amount of data stored on the missile.For the different gliding direction and gliding distance of the jump gliding trajectory,the drop point deviation corresponding to the gravity anomaly approximation error less than 5 m.On the premise of satisfying the calculation speed,this assignment model improves the accuracy of the traditional assignment method and reduces the amount of storage on the missile,and has a certain value of engineering application.