Comparative study on two methods for calculating the gravitational potential of a prism |
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Authors: | Han Jiancheng Shen Wenbin |
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Institution: | HAN Jiancheng1,SHEN Wenbin1,2,3 1. School of Geodesy , Geomatics,Wuhan University,129 Luoyu Road,Wuhan 430079,China 2. State Key Laboratory of Information Engineering in Surveying,Mapping , Remote Sensing,China 3. Key Laboratory of Geospace Environment , Geodesy,Ministry of Education,China |
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Abstract: | The determination of the gravitational potential of a prism plays an important role in physical geodesy and geophysics. However,
there are few literatures that provide accurate approaches for determining the gravitational potential of a prism. Discrete
element method can be used to determine the gravitational potential of a prism, and can approximate the true gravitational
potential values with sufficient accuracy (the smaller each element is, the more accurate the result is). Although Nagy’s
approach provided a closed expression, one does not know whether it is valid, due to the fact that this approach has not been
confirmed in literatures. In this paper, a study on the comparison of Nagy’s approach with discrete element method is presented.
The results show that Nagy’s formulas for determining the gravitational potential of a prism are valid in the domain both
inside and outside the prism. |
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Keywords: | gravitational potential of a prism Nagy approach discrete element method numerical comparison study |
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