A Study on the formation of the gravitational Model based on Point-mass Method

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Author(s)

Jianqiang Wang 1,* Zhiqi Yu 2

1. Institute of Surveying and Mapping, East China Institute of Technology, Jiangxi Fuzhou, China

2. Department of geotechnical investigation & surveying,Wuhan Municipal Engineering Design & Research Institute Co. Ltd, Wuhan, China

* Corresponding author.

DOI: https://doi.org/10.5815/ijisa.2011.02.06

Received: 20 May 2010 / Revised: 25 Sep. 2010 / Accepted: 3 Nov. 2010 / Published: 8 Mar. 2011

Index Terms

Point-mass model, the local gravity field, the earth gravity model, disturbance gravity, gravity anomaly, truncation error

Abstract

The virtual point-mass method has been widely used in dealing with the approximation of the local gravity field which is a difficult problem in internal currently. In this paper, the approximation theory of point-mass model is briefly introduced, and the characteristics of the elements in the coefficient matrix for the model construction are analyzed by numerical calculation. The observations of gravity anomaly is simulated from EGM2008 with degree and order 720 and the approximated region is 32~34Nand 103~105E. A four-tier point-mass model which is on the base of the geopotential model with degree and order 36 from low frequency to high frequency is applied to approximate the local earth’s gravity field. The results of the experiments show that the truncation error of gravity disturbance created by using the point-mass model is less than 2 mGal on the radial direction and there is an optimal truncation error for some certain spectrum gravity field in the space.

Cite This Paper

Jianqiang Wang, Zhiqi Yu,"A Study on the formation of the gravitational Model based on Point-mass Method", International Journal of Intelligent Systems and Applications(IJISA), vol.3, no.2, pp.38-44, 2011. DOI: 10.5815/ijisa.2011.02.06

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