Geodesy-The Challenge of the 3rd Millennium

Front Matter....Pages I-XIV
Front Matter....Pages 1-1
Spaceborne VLBI Beyond 2000....Pages 3-5
Care While Using the NMEA 0183!....Pages 7-15
National Height Datum, the Gauss-Listing Geoid Level Value w 0 and Its Time Variation ẇ 0 ....Pages 17-60
On the Maintenance of a Proper Reference Frame for VLBI and GPS Global Networks....Pages 61-68
Propagation Modelling of GPS Signals....Pages 69-77
Energy Relations for Satellite-to-Satellite Motions....Pages 79-91
Analytical GPS Navigation Solution....Pages 93-96
GLONASS Carrier Phases....Pages 97-101
Analytical Versus Numerical Integration in Satellite Geodesy....Pages 103-109
Intrinsic Parameters and Satellite Orbital Elements....Pages 111-114
Continuously Operating GPS Reference Station Networks: New Algorithms and Applications of Carrier Phase-Based, Medium-Range, Static and Kinematic Positioning....Pages 115-124
Seasonal and Short-Period Fluctuations of Earth Rotation Investigated by Wavelet Analysis....Pages 125-134
Characterisation of the C-II Ring Laser....Pages 135-139
Triple Frequency GPS for Precise Positioning....Pages 141-144
GPS, Integers, Adjustment and Probability....Pages 145-149
Front Matter....Pages 151-151
Somigliana-Pizzetti Minimum Distance Telluroid Mapping....Pages 153-162
Tests of Two Forms of Stokes’s Integral Using a Synthetic Gravity Field Based on Spherical Harmonics....Pages 163-171
The Spheroidal Fixed-Free Two-Boundary Value Problem for Geoid Determination (The Spheroidal Bruns Transform)....Pages 173-195
Integral Equation Methods in Physical Geodesy....Pages 197-206
Geodetic Pseudodifferential Operators and the Meissl Scheme....Pages 207-211
Front Matter....Pages 151-151
The Analysis of the Neumann and Oblique Derivative Problem. Weak Theory....Pages 213-223
From the Generalized Bruns Transformation to Variations of the Solution of the Geodetic Boundary Value Problem....Pages 225-234
Ellipsoidal and Topographical Effects in the Scalar Free Geodetic Boundary Value Problem....Pages 234-245
Ellipsoidal Corrections for the Inverse Hotine/Stokes Formulas....Pages 247-256
Map Projections and Boundary Problems....Pages 257-260
A Solution of Stokes’ Problem for the Ellipsoidal Earth by Means of Green’s Function....Pages 261-266
Front Matter....Pages 267-267
Robust Geodetic Parameter Estimation Under Least Squares Through Weighting on the Basis of the Mean Square Error....Pages 269-276
Partial Procrustes Solution of the Threedimensional Orientation Problem from GPS/LPS Observations....Pages 277-286
Procrustes Analysis and Geodetic Sciences....Pages 287-292
From Elliptic Arc Length to Gauss-Krüger Coordinates by Analytical Continuation....Pages 293-298
A Metric for Covariance Matrices....Pages 299-309
Mixed Integer-Real Valued Adjustment (IRA) Problems: GPS Initial Cycle Ambiguity Resolution by Means of the LLL Algorithm....Pages 311-327
A Short-Cut Method for Computing Positive Variance Component Estimates....Pages 329-331
Introducing the Determination of Hidden (Latent) Inner Restrictions within Linear Regression Analysis....Pages 333-348
Foundations of Bayesian Statistics....Pages 349-353
About the Generalised Analysis of Network-Type Entities....Pages 355-363
From the Point Position Error to the Quality Model....Pages 365-370
The Strange Behavior of Asymptotic Series in Mathematics, Celestial Mechanics and Physical Geodesy....Pages 371-377
Datum Accuracy and Its Dependence on Network Geometry*....Pages 379-386
Reproducing Estimators via Least-Squares: An Optimal Alternative to the Helmert Transformation....Pages 387-392
Front Matter....Pages 267-267
Advanced Deformation Analysis....Pages 393-399
On Geodetic Description of 3D-Body-Deformation....Pages 401-404
Random Simulation and GPS Decorrelation....Pages 405-422
Geodesy Beyond 2000: An Attempt to Unify Geodesy by the Geodesic Flow in All Branches....Pages 423-426
Front Matter....Pages 427-427
Diffusion with Space Memory....Pages 429-435
The Challenge of the Crustal Gravity Field....Pages 437-440
Simplest Solutions of Clairaut’s Equation and the Earth’s Density Model....Pages 441-446
Stokes’s Two-Boundary-Value Problem....Pages 447-453
Strain in the Earth — A Geodetic Perspective....Pages 455-462
Geophysical Geodesy Beyond 2000....Pages 463-469
Back Matter....Pages 471-473