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 

出　　处：《Science China Earth Sciences》2005年第3期398-405,共8页中国科学（地球科学英文版）

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

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.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.

关 键 词：NEUMANN boundary value problem  integral solution  GRAVITY disturbance. 

分 类 号：P228.4[天文地球—大地测量学与测量工程]