Geodesy-The Challenge of the 3rd Millennium
Erik W. Grafarend,Friedrich W. Krumm,Volker S. Schwarze +2 more
- 01 Jan 2003
139
TL;DR: In this article, space geodetic measurements and analysis are used to analyze geodesic reference frames for Earth Rotation, Geodetic Boundary Value Problems, Gauss-Listing Geoid, Molodensky Quasi-Geoid, Geodesic Data Analysis, Mathematical Statistics and Mathematical Cartography.
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Abstract: From the contents: Space Geodetic Measurements and Analysis, Geodetic Reference Frames, Earth Rotation.- Geodetic Boundary Value Problems, Gauss-Listing Geoid, Molodensky Quasi-Geoid.- Geodetic Data Analysis, Mathematical Statistics, Mathematical Cartography, Geodetic System Analysis.- Geophysical Geodesy.
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References
Ellipsoidal and Topographical Effects in the Scalar Free Geodetic Boundary Value Problem
Kurt Seitz
- 01 Jan 2003
TL;DR: In this paper, a scalar free boundary value problem is formulated for the gravity potential in the external space outside the earth's surface and for the vertical position of the boundary surface, and the reduced boundary condition refers to the Telluroid s ∋ p, and a new difference quantity δw, the disturbing potential, is introduced.
1
From the Generalized Bruns Transformation to Variations of the Solution of the Geodetic Boundary Value Problem
Reiner Rummel,Martin van Gelderen +1 more
- 01 Jan 2003
TL;DR: The main focus of Grafarend's research was mathematical, physical and statistical geodesy as mentioned in this paper. But this is also to say his focus was and is geodesys as a whole, that selecting one area automatically implies to do injustice to all others.
The Spheroidal Fixed-Free Two-Boundary Value Problem for Geoid Determination (The Spheroidal Bruns Transform)
TL;DR: In this article, the target of the spheroidal Gauss-Listing geoid determination is presented as a solution of the SPV problem, which is based on a nonlinear Bruns' transformation, and four different gravity models are treated to determine whether they pass the test to fit to the postulate of a level ellipsoidal gravity field.