Local Geoid Determination Based on Rectangular Harmonic Analysis

doi:10.13474/j.cnki.11-2246.2018.0237

Abstract

Abstract: The establishment of high-precision geoid is one of the important tasks of geodesy.At present,the spherical harmonic analysis and spherical crown analysis are used to establish the local geoid,but it can not get high precision,small area of the earth level.Aiming at the present situation of this study,so rectangular harmonic analysis (RHA) is proposed for regional geoid in this paper.By selecting the point of the regional for the origin to establish the Cartesian coordinate system,and solving the Laplace's equation of gravitational potential in it,then using the simulated terrestrial gravity and aerial gravity data,the method of rectangular harmonic analysis is validated and analyzed.Select the extended parameters,the best truncation method to improve the accuracy of the method.According to the numerical results,it is shown that the accuracy of the 2.5'×2.5' geoid undulations computed from ground and airborne gravity data is 4.2 and 4.3.cm,and for the air neutral data,rectangular harmonic analysis can finish the downward extension and solution process,make the aviation gravity solution directly,and simply.

Key words: rectangular harmonic analysis, local geoid, aerial gravity, boundary effect

CLC Number:

P228

LU Yuanqi, ZHANG Chuanyin, JANG Tao. Local Geoid Determination Based on Rectangular Harmonic Analysis[J]. 测绘通报, 2018, 0(8): 11-17.

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