Abstract
Based on the solution for the Bjerhammar Boundary Value Problem (BVP) in physical geodesy, an approximation method of local quasi-geoid using point masses was proposed in the paper, and a multi-layer point mass model of the local quasi-geoid was constructed for some area within China. In the development of the method, the relation between ground gravity anomalies and disturbing potential was derived, which results in the point mass model of the disturbing potential, and then the formula for the derivation of height anomaly was obtained. Through analysis of the requirements on ground gravity anomaly, a multi-layer point mass model for the calculation of height anomaly was constructed. In the numerical test of the method, the Remove-Compute-Restore (RCR) method was also employed for comparisons of approximation results. Analyses of the results show that the proposed method can also be applied in the estimation of local quasi-geoid.
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References
Antunes C, Pail R, Catalao J (2003) Point mass method applied to the regional gravimetric determination of the geoid. Studia Geophysica et Geodaetica 47:495–509
Barthelmes F (1989) Local gravity field approximation by point masses with optimized positions. Report No. 102(2). Veroeffentlichungen des Zentralinstituts for Physik der Erde, Potsdam, Germany
Bjerhammar A (1963) A new theory of gravimetric geodesy. Royal Institute of Technology, Division of Geodesy, Stockholm
Forsberg R (1984) A study of terrain reductions, density anomalies and geophysical inversion methods in gravity field modeling: report 355. Department of Geodetic Science and Surveying, the Ohio State University, Columbus
Forsberg R, Tscherning CC (1981) The use of height data in gravity field approximation by collocation. J Geophys Res 86(B9):7843–7854
Heiskanen W, Moritz H (1967) Physical geodesy. W. H. Freeman and Co., San Francisco
Moritz H (1980) Advanced physical geodesy. Abacus Press, Tunbridge Wells Kent
Needham PE (1970) The formation and evaluation of detailed geopotential models based on point masses. Report 149. Department of Geodetic Science and Surveying, Ohio State University, Columbus, Ohio, USA
Sjoberg L (1995) On the quasigeoid to geoid separation. Manuscripta Geodetica 20:182–192
Sünkel H (1981) Feasibility studies for the prediction of the gravity disturbance vector in high altitudes. Report No. 311. Department of Geodetic Science, Ohio State University, Columbus, OH, USA
Sünkel H (1983) The generation of a point mass model from surface gravity data. Report No. 353. Department of Geodetic Science, Ohio State University, Columbus, OH, USA
Tscherning CC (1981) Comparison of some methods for the detailed representation of the Earth’s gravity field. Rev Geophys 19:213–221
Vermeer M (1995) Mass point geopotential modeling using fast spectral techniques: historical overview, toolbox description, numerical experiments. Manuscrita Geodaetica 20:362–378
Acknowledgements
The work in the paper is financially supported by the National Natural Science Foundation of China, No. 41574020.
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Zhao, D., Bao, H., Li, S., Wang, Q. (2017). Approximation of Local Quasi-Geoid Using Point Mass Method Based on Bjerhammar Theory. In: Vergos, G., Pail, R., Barzaghi, R. (eds) International Symposium on Gravity, Geoid and Height Systems 2016. International Association of Geodesy Symposia, vol 148. Springer, Cham. https://doi.org/10.1007/1345_2017_8
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DOI: https://doi.org/10.1007/1345_2017_8
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