IV Hotine-Marussi Symposium on Mathematical Geodesy

Based on the IV Hotine-Marussi Symposium held in Trento, the volume covers three important topics: boundary value problems, satellite geodesy and stochastic methods in geodesy. The first part deals with boundary value problems which are tackled from both the theoretical and the numerical point of view. The part on satellite geodesy deals with the simulation of the GOCE mission, the integration of satellite gradiometry and airborne gravity for gravity-filed recovery, satellite-to-satellite tracking and orbit sensitivity analysis. Various applied and theoretical contributions are devoted to the stochastic methods applied to geodesy. The book presents the state-of-the-art of the main topics in the theoretical and methodological aspects of geodesy.

Contenu

Report on the Symposium.- The Molodensky Scalar Boundary Value Problem in Spherical Coordinates: a New Result (abstract only).- The Slepian Problem on the Sphere (abstract only).- White Noise Stochastic BVP's and Cimmino's Theory.- Simulation of the Goce Gravity Field Mission.- Quality Improvement of Global Gravity Field Models by Combining Satellite Gradiometry and Airborne Gravimetry.- On the Determination of Geopotential Differences from Satellite-to-Satellite Tracking.- On the Topographic Effects of Helmert's Method of Condensation.- Distance Measurement with Electromagnetic Wave Dispersion.- A Global Topographic-Isostatic Model Based on a Loading Theory.- Stochastic Modelling of Non-stationary Smooth Phenomena.- Deformation Detection According to a Bayesian Approach.- Block Elimination and Weight Matrices (abstract only).- Construction of An-isotropic Covariance-Functions Using Sums of Riesz-Representers (abstract only).- New Covariance Models for Local Applications of Collocation.- Approximation of Harmonic Covariance Functions on the Sphere by non Harmonic Locally Supported Ones (abstract only).- Integration of a Priori Gravity Field Models in Boundary Element Formulations to Geodetic Boundary Value Problems.- On the Solution of the Inverse Stokes Problem Including Ellipsoidal Effects (abstract only).- The Spheroidal Stokes Boundary Value Problem (extended abstract).- The Hotine Rectified Skew Orthomorphic Projection (Oblique Mercator Projection) Revisited (abstract only).- A Solution of the Korn-Lichtenstein Equations of Conformai Mapping which Directly Generates Ellipsoidal Gauß-Krüger Conformai Coordinates or the Transverse Mercator Projection (abstract only).- An Iterative Solution of the Scalar Free Boundary Value Problem and the Choice of the Reference Surface (abstract only).- On the Use of Galerkin's Method in the Solution of the Geodetic Boundary Value Problem (abstract only).- Numerical Aspects of Altimetry-Gravimetry Problems.- Fast Numerical Solution of the Vector Molodensky Problem.- Softly Unbiased Prediction Part 2: The Random Effects Model.- Fractale, Brownian Motion, Wiener Process, Krige Variogram, Kolmogorov Structure Function: Geodetic Examples (abstract only).- The General Linear Model-a Solution by Means of the Condition Adjustment.- Iteration Procedure for Evaluating High Degree Potential Coefficients from Gravity Data.- On the Adjustment of Combined GPS/Levelling/Geoid Networks (abstract only).- Alternative Formulas for Terrain Reduction and Comparison with Existing Formulas.- Error Detection in GPS Observations by Means of Multi-Process Models.- A Concept for Satellite Orbit Sensitivity Analysis (abstract only).- Index of Authors.- List of Participants.