一种利用拟牛顿法优化解算界址点坐标的方法  

A Method of Optimizing Boundary Point Coordinates by Quasi Newton Method

作　　者：周诗洋 吴向阳[1] 杨高朝 王庆[2] ZHOU Shiyang;WU Xiangyang;YANG Gaozhao;WANG Qing(School of Transportation,Southeast University,Nanjing 211189,China;School of Instrument Science and Engineering,Southeast University,Nanjing 211189,China)

机构地区：[1]东南大学交通学院,江苏南京211189 [2]东南大学仪器科学与工程学院,江苏南京211189

出　　处：《计算机与网络》2021年第23期66-69,共4页Computer & Network

基　　金：国家重点研发计划资助(2020YFD1100200)。

摘　　要：利用拟牛顿法优化界址坐标解算方法,减少了解算时的计算步骤并保证了界址点计算结果的精度。以空中距离交会解算方法为基础,通过利用平面坐标和高程坐标分别求解的方法对界址点坐标进行解算,对公式进行了推导和深入分析,并提出利用拟牛顿法优化高程迭代算法,该方法在进行高程迭代解算时,减少了计算步骤并保证了界址点计算结果精度不受损失。编写了简化的拟牛顿法和牛顿迭代法的计算机程序并对界址点坐标成功进行解算,通过对比程序的计算结果验证该算法切实可行,可减少界址点坐标解算的步骤。The quasi Newton method is used to optimize the boundary coordinate solution method,which reduces the calculation steps and ensures the accuracy of the boundary point calculation results.Based on the aerial distance intersection solution method,the boundary point coordinates are solved by using plane coordinates and elevation coordinates respectively.The formula is derived and analyzed in depth,and the quasi Newton method is proposed to optimize the elevation iteration algorithm.The method reduces the calculation steps and ensures the accuracy of boundary point calculation without loss.The computer programs of simplified quasi Newton method and Newton iteration method are compiled to solve the boundary point coordinates successfully.Finally,the calculation results of the programverify that the algorithmis feasible and can reduce the steps of boundary point coordinate calculation.

关 键 词：伪卫星 空间距离后方交会 界址点坐标 牛顿迭代法 拟牛顿法 

分 类 号：TP393[自动化与计算机技术—计算机应用技术]