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Vol. 20, Special Issue, April 2013, pp.64-68

 

 

The Formation of the Local Gravitational Model Based on Point-mass Method

 

1 WANG Jian-Qiang, 2 ZHAO Guo-Qiang, 3 YU Zhi-Qi

1 Faculty of Geomatics, East China Institute of Technology, 418 Guanglan Road, Nanchang, 330013, China

Tel.: +86-18079128100, fax: +86-079183897348

2 Institute of Earthquake Science China Earthquake Administration, Beijing, 100036, China

Tel.:+86-13810862122, fax:+86-01088015466

3 Department of geotechnical investigation & surveying, Wuhan Municipal Engineering Design & Research Institute Co. Ltd, Wuhan, 430000, China

Tel.:+86-18995554676, fax: +86-02783527829

E-mail: wjq86991@163.com, gqzhao@gps.gov.cn, qiqiyu1982@qq.com

 

Received: 16 February 2013   /Accepted: 17 April 2013   /Published: 30 April 2013

Digital Sensors and Sensor Sysstems

 

Abstract: Virtual point-mass method has been widely used to approximating the local gravity field. However, the approximation area is usually too small. Thus point-mass model for large area is studied in this paper. And an experiment is conducted for the earth’s gravity model in the region of Tibetan plateau, while the region is 740-1040 E and 250-400 N. The formatted point-mass model is a three-tier point-mass model which is on the base of the geopotential model with low degree and order. In addition, the resolution of the model is 2 ' ´ 2'. The observations of gravity anomaly are simulated from EGM2008 with degree and order 2159. The focus is on the formation of the point masses in the space domain and the solution of the formatted equation for virtual point masses. The results of the experiments show that the truncation error of gravity disturbance created by using the point-mass model is less than 1mGal and the geoid formatted by point-mass is applicable to engineering. Furthermore, this method is easy to deal with higher resolution model.

 

Keywords: Point-mass method, Local gravity field, Geoid, Toeplitz matrix

 

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