The GPS-gravimetry boundary value problem

作     者：YU Jinhai1,2 & ZHANG Chuanding2 1. Institute of Geodesy and Geophysics of Chinese Academy of Sciences, Wuhan 430077, China 2. Zhengzhou Information Engineering University, Zhengzhou 450052, China 

作者机构：Institute of Geodesy and Geophysics of Chinese Academy of Sciences Wuhan China Zhengzhou Information Engineering University Zhengzhou China 

出 版 物：《Science China Earth Sciences》 (中国科学（地球科学英文版）)

年 卷 期：2005年第48卷第3期

页      面：398-405页

核心收录：

学科分类：081802[工学-地球探测与信息技术] 08[工学] 081105[工学-导航、制导与控制] 0818[工学-地质资源与地质工程] 0804[工学-仪器科学与技术] 0811[工学-控制科学与工程] 

基　　金：supported by Chinese Science Fund(Grant No.40374001) 

主　　题：Neumann boundary value problem, integral solution, gravity disturbance. 

摘      要：How to determine the earth’s external gravity field with the accuracy of O(T2) by making use of GPS data and gravity values measured on the earth’s surface is dealt with in this paper. There are two main steps: to extend these measured values on the earth’s surface onto the reference ellipsoid at first and then to seek for the integral solution of the external Neumann problem outside the ellipsoid. In addition, the corresponding judging criteria of accuracy to solve the GPS-gravity boundary value problem are established. The integral solution given in the paper not only contains all frequency-spectral information of the gravity field with the accuracy of O(T 2), but is also easily computed. In fact, the solution has great significance for both theory and prac- tice.