椭球面上精确解算航空器航偏距的算法研究  

Research on the method of accurately calculating aircraft yaw distance on ellipsoidal surface

作　　者：邱琳 赵元务 QIU Lin;ZHAO Yuanwu(Henan Vocational College of Water Conservancy and Environment,Zhengzhou 450000,China;The First Topographic Surveying Brigade,MNR,Xi’an 710054,China)

机构地区：[1]河南水利与环境职业学院,河南郑州450000 [2]自然资源部第一地形测量队,陕西西安710054

出　　处：《海洋测绘》2025年第1期6-10,共5页Hydrographic Surveying and Charting

基　　金：河南省重点研发与推广专项(232102210165);河南省高等学校重点科研项目:梯级水库群大坝风险概率计算与风险后果评估方法研究(24A570001)。

摘　　要：为摆脱传统航空器实时航偏距在二维双标准线等角圆锥投影与高斯投影下的计算模式,避免因长度投影变形给航偏距求解带来的误差,采用贝塞尔大地主题解算、克莱劳恒等式等大地测量方法,在椭球面上直接求解航偏距,给出了多次等间距内插大地线、迭代求解、搜索航偏角垂足着落区间与垂足点的算法,并借助C语言编程完成了两个测试算例,结果表明:基于椭球面求解两点间大地线可避免长度变形,确保长度精确性,通过预设迭代终止阈值可灵活控制航偏角与航偏距的精确度,该方法为航空器或远洋航行航偏角、航偏距的实时修正,提供了参考方案。In order to break away from the traditional calculation mode of real-time aircraft yaw distance based on two-dimensional double standard line equiangular cone projection and Gaussian projection,and to avoid errors caused by length projection deformation in yaw distance calculation,geodetic methods such as Bessel geodetic theme calculation and Klein identity equation are used to directly solve yaw distance on the ellipsoid.Multiple equidistant interpolation of geodesic lines,iterative solution,and the algorithm for searching for the landing range and landing point of the yaw angle and the yaw point was tested using two examples and C language programming.The results showed that solving the geodesic line between two points based on an ellipsoid could avoid length deformation and ensure length accuracy.The accuracy of yaw angle and yaw distance can be flexibly controlled by preset iteration termination thresholds.This method provides plan reference for real-time correction of yaw angle and yaw distance in aircraft or ocean.

关 键 词：大地测量学 椭球面 航偏角 航偏距 大地线 迭代运算 

分 类 号：P22[天文地球—大地测量学与测量工程]