A volume in the IAG Topical Series Presents a collection of peer-reviewed articles from the IX Hotine-Marussi Symposium, held in Rome, Italy in 2018 Highlights recent advances in theoretical geodesy, geodetic modeling, and interdisciplinary cooperation

Inhalt

Part I: Gravity Field Modelling and Height Systems.- Orbit Optimization for Future Satellite Gravity Field Missions: Influence of the Time Variable Gravity Field Models in a Genetic Algorithm Approach. Comparison of Criteria for the Identification of Correlated Orders in GRACE Spherical Harmonic Coefficients.- Second- and Third-Order Derivatives of the Somigliana-Pizzetti Reference Gravity Field.- On the Advantage of Normal Heights.- Green's Function Method Extended by Successive Approximations and Applied to Earth's Gravity Field Recovery.- On Combining the Directional Solutions of the Gravitational Curvature Boundary-Value Problem.- Part II: Theory of Modern Geodetic Reference Frames.- Review of Reference Frame Representations for a Deformable Earth.- Impacts of the LARES and LARES-2 Satellite Missions on the SLR Terrestrial Reference Frame.- Permanent GNSS Network Optimization Considering Tectonic Motions.- Part III: Estimation Theory and Inverse Problems in Geodesy.- Adjustmentof Gauss-Helmert Models with Autoregressive and Student Errors.- How Abnormal Are the PDFs of the DIA Method: A Quality Description in the Context of GNSS.- Controlling the BiasWithin Free Geodetic Networks.- Regularized Solutions of the Two Layers Inverse Gravimetric Problem in the Space of Bounded Variation Functions.- Converted Total Least Squares Method and Gauss-Helmert Model with Applications to Coordinate Transformations.- A Bayesian Nonlinear Regression Model Based on t-Distributed Errors.- The GNSS for Meteorology (G4M) Procedure and Its Application to Four Significant Weather Events.- Part IV: Advanced Numerical Methods in Geodesy.- Modeling the Gravitational Field by Using CFD Techniques.- Surface Loading of a Self-Gravitating, Laterally Heterogeneous Elastic Sphere: Preliminary Result for the 2D Case.- Using Structural Risk Minimization to Determine the Optimal Complexity of B-Spline Surfaces for Modelling Correlated Point Cloud Data.- On the Numerical Implementation of a Perturbation Method for Satellite Gravity Mapping.- Part V: Geodetic Data Analysis.- Non-Recursive Representation of an Autoregressive Process Within the Magic Square.- A Bootstrap Approach to Testing for Time-Variability of AR Process Coefficients in Regression Time Series with t-Distributed White Noise Components.- Identification of Suspicious Data for Robust Estimation of Stochastic Processes.- Quality and Distribution of Terrestrial Gravity Data for Precise Regional Geoid Modeling: A Generalized Setup.- Part VI: Interactions of Geodesy and Mathematics.- Geodesy and Mathematics: Interactions, Acquisitions, and Open Problems.