NDLI: Comparison of two different solutions to Molodensky’s G$

Content Provider	Springer Nature Link
Author	Vaľko, M. Mojzeš, M. Janák, J. Papčo, J.
Copyright Year	2008
Abstract	The main purpose of this paper is comparison of two different approaches of solution to the Simple Molodensky’s Problem, the Molodensky’s Approach and the Analytical Continuation Approach, based on numerical computation. Although these approaches have been described theoretically by several authors, e.g. Molodensky et al. (1960), Heiskanen and Moritz (1967), Vaníček (1974), Moritz (1980) and Holota (1991, unpublished results) and theoretical proof of equivalence was given by Heiskanen and Moritz (1967), Moritz (1971), Ecker (1971) and Pellinen (1972, unpublished results), only very few practical experiences about the differences between particular solutions and computational efficiency exist. In this paper we compare the above two mentioned approaches in terms of the G$_{1}$-effect on quasigeoid. Both quasigeoid solutions are tested by the independent GPS/levelling approach and are also compared with the previous quasigeoid model of Slovakia where the G$_{1}$-term has been approximated using the classical terrain correction. The effect of the G$_{2}$-term is also numerically estimated, revealing that it might be significant for the precise quasigeoid determination. Some practical comments and recommendations are given at the end of the paper.
Starting Page	71
Ending Page	86
Page Count	16
File Format	PDF
ISSN	00393169
Journal	Studia Geophysica et Geodaetica
Volume Number	52
Issue Number	1
e-ISSN	15731626
Language	English
Publisher	Springer US
Publisher Date	2008-04-30
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	simple Molodensky’s problem boundary value problem gradient solution G $_{1}$ term telluroid Meteorology/Climatology Structural Geology Geophysics/Geodesy
Content Type	Text
Resource Type	Article
Subject	Geochemistry and Petrology Geophysics

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