High Precision Quasi-geoid Computations Using Improved Stokes-Helmert Boundary Value Problem

doi:10.13474/j.cnki.11-2246.2017.0246

Abstract

Abstract: Using the improved Stokes-Helmert boundary value problem, centimeter-order quasi-geoid over Linyi city have been established. Firstly, based on the Stokes theory and Molodensky theory, and making use of the achievements of rigorous solution for disturbing gravitational potential near the surface and exterior of the earth,the mathematical forms of Stokes-Helmert boundary value problem was derived, and the computational formula of direct and indirect topographic effect on the geoid were given. Secondly, the multi-source hetemgeneous data and information were combined to compute the gravimetric quasi-geoid model based on the improved Stokes-Helmert method and the well-known "remove-restore" technology. Finally, the combined adjustment of GPS/leveling height anomaly and gravimetric quasi-geoid data were conducted to obtain the final quasi-geoid model. Numerical results showed that the external accuracy reached 1.6 cm.

Key words: quasi-geoid computations, Stokes-Helmert method, multi-surface function fitting, topographic effect

CLC Number:

LI Deqiang. High Precision Quasi-geoid Computations Using Improved Stokes-Helmert Boundary Value Problem[J]. 测绘通报, 2017, 0(8): 13-18.

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