Geodetic theory today : Third Hotine-Marussi Symposium on Mathematical Geodesy : [held in L'Aquila, Italy, May 30-June 3, 1994

In 1954, Antonio Marussi started a series of symposia in Venice. The first three of these covered the entire theoretical definition of 3-D geodesy as delineated in discussions with renowned contemporary scientists, particularly Martin Hotine. After Marussi's death, the symposia were finally named the Hotine-Marussi Symposia and were continued in Italy. The Third Hotine-Marussi Symposium was held in L'Aquila from May 30 to June 3, 1994. It provided geodesists interested in theory and methodology with the opportunity to discuss their theoretical achievements, as well as new topics in the geodetic sciences. This book thus provides an updated overview of the main geodetic theories in various fields of application. Front Matter....Pages II-X Report on the: III Hotine-Marussi Symposium on Mathematical Geodesy....Pages 1-2 Conformal Structures and Reference Frames in the Post-Newtonian Approximation to General Relativity....Pages 3-4 3D Linear Similarity Coordinate Transformation between a Global Geodetic System and a Local Geodetic System without Local Ellipsoidal Heights....Pages 5-5 Application of Moebius Barycentric Coordinates (Natural Coordinates) for Geodetic Positioning....Pages 6-7 DEM Generation with ERS-1 Interferometry....Pages 8-8 Fundamental GPS Network in Lithuania....Pages 9-18 The Rotation of the Celestial Equatorial System with the so-called “Non-Rotating Origin”....Pages 19-26 On the GPS Double-Difference Ambiguities and their Partial Search Spaces....Pages 27-31 The Exact Solution of the Nonlinear Equations of the 7-Parameter Global Datum Transformation C 7 (3)....Pages 32-38 GPS - Spacetime Observables....Pages 39-48 The Optimal Universal Transverse Mercator Projection....Pages 49-49 The Generalized Mollweide Projection of the Biaxial Ellipsoid....Pages 50-50 The Hotine oblique Mercator projection of $$\mathbb{E}_{{a,b}}^{2}$$ ....Pages 51-51 The Embedding of the Plumbline Manifold: Orthometric Heights....Pages 52-52 Inverse Cartographic Problems....Pages 53-53 Accuracy of orbit computation for geodetic satellites: the ordered and the chaotic case....Pages 54-55 The short-arc approach to laser ranging analysis....Pages 56-70 Orbital Injection Analysis for Twin LAGEOS Satellites in Supplementary Orbits and the Measurement of the Lense-Thirring Gravitomagnetic Effect....Pages 71-82 Determination of the Gravity Field from Satellite Gradiometry....Pages 83-91 New Wavelet Methods for Approximating Harmonic Functions....Pages 92-101 Satellite Gradiometry — A New Approach....Pages 102-111 Satellite Orbit Geometry Under Nonconservative Forces....Pages 112-121 Spherical cap models of Laplacian potentials and general fields....Pages 122-139 Solving the Inverse Gravimetric Problem: On the Benefit of Wavelets....Pages 140-140 Integrated Inverse Gravimetric Problems....Pages 141-150 Mathematical Statistics for Spatial Data; The Use of Geostatistics for Geodetic Purposes....Pages 151-161 On the Reconstruction of Regular Grids from Incomplete, Filtered or Unevenly Sampled Band-Limited Data....Pages 162-183 Non-parametric Statistics and Bootstrap Methods for Testing the Data Quality of a Geographic Information System....Pages 184-203 The Effects of Fuzzy Weight Matrices on the Results of Least Squares Adjustments....Pages 204-213 On Some Alternatives to Kalman Filtering....Pages 214-223 Chaotic Behaviour in Geodetic Sensors and Fractal Characteristics of Sensor Noise....Pages 224-234 Discriminant Analysis to Test Non-Nested Hypotheses....Pages 235-245 On Stochastic Boundary Conditions for Laplace Equation....Pages 246-258 A Series Solution for Zagrebin’s Problem....Pages 259-271 Solution of the geodetic boundary value problem in spectral form....Pages 272-279 Gravity Reductions Versus Approximate B.V.P.s....Pages 280-293 Classical Methods for Non-Spherical Boundary Problems in Physical Geodesy....Pages 294-303 On a Scalar Fixed Altimetry — Gravimetry Boundary Value Problem....Pages 304-314 Non-Linear Effects in the Geodetic Version of the Free Geodetic Boundary Value Problem Based on Higher Order Reference Fields....Pages 315-324 Perturbation Expansion for Solving the Fixed Gravimetric Boundary Value Problem....Pages 325-331 Application of the Concept of Biorthogonal Series to a Simulation of a Gradiometric Mission....Pages 332-339 Local Geoid Accuracies from Different Kinds of Data....Pages 340-349 On Calculating the Attraction of the Topographic-Isostatic Masses....Pages 350-361 The Fast Hartley Transform Applied to the Iberian Geoid Calculation....Pages 362-371 The Impact of the Gravitational Potential of Topographic and Isostatically Adjusted Masses on the Geoid....Pages 372-380 The Topographic Potential with Respect to the Reference Ellipsoid....Pages 381-390 On the Application of Wavelets in Geodesy....Pages 391-391 Geodetic Applications of Wavelets: Proposals and Simple Numerical Experiments....Pages 392-393 How Accurately do we know the Marine Geoid in Shallow Water Regions?....Pages 394-403 Rank deficiency of altimetry-gravimetry SST determination....Pages 404-412 Back Matter....Pages 413-428 ....Pages 429-439