Geodesy

by Grafarend, Erik W.; Krumm, Friedrich W.; Schwarze, Volker S.; Grafarend, Erik W.; Krumm, Friedrich W.

• ISBN13: 9783540431602
• ISBN10: 3540431608
• Format: Hardcover
• Copyright: 2002-12-01
• Publisher: Springer Verlag

Summary

Geodesy as the science which determines the figure of the earth, its orientation in space and its gravity field as well as its temporal changes, produces key elements in describing the kinematics and the dynamics of the deformable body "earth". It contributes in particular to geodynamics and opens the door to decode the complex interactions between components of "the system earth". In the breathtaking development recently a whole arsenal of new terrestrial, airborne as well as satelliteborne measurement techniques for earth sciences have been made available and have broadened the spectrum of measurable earth parameters with an unforeseen accuracy and precision, in particular to resolve the factor time. The book focusses on these topics and gives a state of the art of modern geodesy.

Table of Contents

Space Geodetic Measurements and Analysis, Geodetic Reference Frames, Earth Rotation
Spaceborne VLBI Beyond 2000	3	(4)
Adam J.
Care While Using the NMEA 0183!	7	(10)
Ardalan A. A.
Awange J. L.
National Height Datum, the Gauss-Listing Geoid Level Value wo and Its Time Variation wo (Baltic Sea Level Project: Epoch 1990.8, 1993.8, 1997.4)	17	(44)
Ardalan A. A.
Grafarend E. W.
Kakkuri J.
On the Maintenance of a Proper Reference Frame for VLBI and GPS Global Networks	61	(8)
Dermanis A.
Propagation Modelling of GPS Signals	69	(10)
Hannah B. M.
Kubik K.
Walker R. A.
Energy Relations for Satellite-to-Satellite Motions	79	(14)
Ilk K. H.
Analytical GPS Navigation Solution	93	(4)
Kleusberg A.
GLONASS Carrier Phases	97	(6)
Leick A.
Analytical Versus Numerical Integration in Satellite Geodesy	103	(8)
Lelgemann D.
Cui C.
Intrinsic Parameters and Satellite Orbital Elements	111	(4)
Livieratos E.
Continuously Operating GPS Reference Station Networks: New Algorithms and Applications of Carrier Phase-Based, Medium-Range, Static and Kinematic Positioning	115	(10)
Rizos C.
Han S.
Chen H.-Y.
Chai G. P.
Seasonal and Short-Period Fluctuations of Earth Rotation Investigated by Wavelet Analysis	125	(10)
Schmitz-Hubsch H.
Schuh H.
Characterisation of the C-II Ring Laser	135	(6)
Schreiber U.
Schneider M.
Stedman G. E.
Rowe C. H.
Schluter W.
Triple Frequency GPS for Precise Positioning	141	(4)
Sjoberg L. E.
GPS, Integers, Adjustment and Probability	145	(8)
Teunissen P. J. G.
Geodetic Boundary Value Problems, Gauß-Listing Geoid, Molodensky Quasi-Geoid
Somigliana-Pizetti Minimum Distance Telluroid Mapping	153	(10)
Ardalan A. A.
Tests of Two Forms of Stokes's Integral Using a Synthetic Gravity Field Based on Spherical Harmonics	163	(10)
Featherstone W. E.
The Spheroidal Fixed-Free Two-Boundary Value Problem for Geoid Determination (The Spheroidal Bruns Transform)	173	(24)
Grafarend E. W.
Ardalan A. A.
Sideris M. G.
Integral Equation Methods in Physical Geodesy	197	(10)
Heck B.
Geodetic Pseudodifferential Operators and the Meissl Scheme	207	(6)
Keller W.
The Analysis of the Neumann and Oblique Derivative Problem. Weak Theory	213	(12)
Rozanov Y.
Sanso F.
From the Generalized Bruns Transformation to Variations of the Solution of the Geodetic Boundary Value Problem	225	(10)
Rummel R.
van Gelderen M.
Ellipsoidal and Topographical Effects in the Scalar Free Geodetic Boundary Value Problem	235	(12)
Seitz K.
Ellipsoidal Corrections for the Inverse Hotine/Stokes Formulas	247	(10)
Sideris M. G.
Fei Z. L.
Blais J. A. R.
Map Projections and Boundary Problems	257	(4)
Svensson S. L.
A Solution of Stokes' Problem for the Ellipsoidal Earth by Means of Green's Function	261	(8)
Yurkina M. I.
Geodetic Data Analysis, Mathematical Statistics, Mathematical Cartography, Geodetic System Analysis
Robust Geodetic Parameter Estimation Under Least Squares Through Weighting on the Basis of the Mean Square Error	269	(8)
Aduol F. W. O.
Partial Procrustes Solution of the Threedimensional Orientation Problem from GPS/LPS Observations	277	(10)
Awange J. L.
Procrustes Analysis and Geodetic Sciences	287	(6)
Crosilla F.
From Elliptic Arc Length to Gauss-Kruger Coordinates by Analytical Continuation	293	(6)
Dorrer E.
A Metric for Covariance Matrices	299	(12)
Forstner W.
Moonen B.
Mixed Integer-Real Valued Adjustment (IRA) Problems: GPS Initial Cycle Ambiguity Resolution by Means of the LLL Algorithm	311	(18)
Grafarend E. W.
A Short-Cut Method for Computing Positive Variance Component Estimates	329	(4)
Hartung J.
Introducing the Determination of Hidden (Latent) Inner Restrictions Within Linear Regression Analysis	333	(16)
Jurisch R.
Kampmann G.
Linke J.
Foundations of Bayesian Statistics	349	(6)
Koch K.-R.
About the Generalised Analysis of Network-Type Entities	355	(10)
Linkwitz K.
From the Point Position Error to the Quality Model	365	(6)
Meier S.
The Strange Behavior of Asymptotic Series in Mathematics, Celestial Mechanics and Physical Geodesy	371	(8)
Moritz H.
Datum Accuracy and Its Dependence on Network Geometry	379	(8)
Papo H. B.
Reproducing Estimators via Least Squares: An Optimal Alternative to the Helmert Transformation	387	(6)
Schaffrin B.
Advanced Deformation Analysis	393	(8)
Welsch W.
On Geodetic Description of 3D-Body-Deformation	401	(4)
Wittenburg R.
Random Simulation and GPS Decorrelation	405	(18)
Xu P.
Geodesy Beyond 2000: An Attempt to Unify Geodesy by the Geodesic Flow in All Branches	423	(6)
You R. J.
Geophysical Geodesy
Diffusion with Space Memory	429	(8)
Caputo M.
Plastino W.
The Challenge of the Crustal Gravity Field	437	(4)
Kakkuri J.
Simplest Solutions of Clairaut's Equation and the Earth's Density Model	441	(6)
Marchenko A. N.
Stokes's Two-Boundary-Value Problem	447	(8)
Martinec Z.
Strain in the Earth -- A Geodetic Perspective	455	(8)
Reilly W. I.
Geophysical Geodesy Beyond 2000	463	(8)
Varga P.
Author Index	471