Abstract: In this chapter, the author first defines the two main geodetic boundary value problems, namely Stokes' problem and Molodensky's problem. Then he summarizes theoretical solutions of the problems, which yield expressions for evaluating, followed by practical formulas for computing geoid undulations using spherical harmonic coefficients, gravity anomalies, and topographic data. Precise geoid determination over a large region is possible with a combination of spherical harmonic coefficients, gravity anomalies, and heights. The use of Stokes' Equation requires gravity anomalies all over the earth for the computation of a single geoid undulation. Obviously, this is impractical to say the least and thus, in practice, some modifications of the technique are necessary. Consequently, the use of the GPS technology with gravimetric geoids can provide vertical positioning for all sorts of mapping, positioning, and exploration projects in a very fast and cost effective manner.
Publication Year: 2020
Publication Date: 2020-09-23
Language: en
Type: book-chapter
Indexed In: ['crossref']
Access and Citation
Cited By Count: 2
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