IX Hotine-Marussi Symposium on Mathematical Geodesy : Proceedings of the Symposium in Rome, June 18 – 22, 2018

This volume gathers the proceedings of the IX Hotine-Marussi Symposium on Mathematical Geodesy, which was held from 18 to 22 June 2018 at the Faculty of Civil and Industrial Engineering, Sapienza University of Rome, Italy. Since 2006, the Hotine-Marussi Symposia series has been produced under the auspices of the Inter-Commission Committee on Theory (ICCT) within the International Association of Geodesy (IAG). The ICCT has organized the last four Hotine-Marussi Symposia, held in Wuhan (2006) and Rome (2009, 2013 and 2018). The overall goal of the ICCT and Hotine-Marussi Symposia has always been to advance geodetic theory, as reflected in the 25 peer-reviewed research articles presented here. The IX Hotine-Marussi Symposium was divided into 10 topical sessions covering all aspects of geodetic theory including reference frames, gravity field modelling, adjustment theory, atmosphere, time series analysis and advanced numerical methods. In total 118 participants attended the Symposium and delivered 82 oral and 37 poster presentations. During a special session at the Accademia Nazionale deiLincei, the oldest scientific academy in the world, six invited speakers discussed interactions of geodesy with oceanography, glaciology, atmospheric research, mathematics, Earth science and seismology. Front Matter ....Pages i-xi Front Matter ....Pages 1-1 Orbit Optimization for Future Satellite Gravity Field Missions: Influence of the Time Variable Gravity Field Models in a Genetic Algorithm Approach (Siavash Iran Pour, Nico Sneeuw, Matthias Weigelt, Alireza Amiri-Simkooei)....Pages 3-9 Comparison of Criteria for the Identification of Correlated Orders in GRACE Spherical Harmonic Coefficients (Dimitrios Piretzidis, Michael G. Sideris, Dimitrios Tsoulis)....Pages 11-18 Second- and Third-Order Derivatives of the Somigliana-Pizzetti Reference Gravity Field (Sten Claessens)....Pages 19-23 On the Advantage of Normal Heights (Viktor V. Popadyev)....Pages 25-31 Green’s Function Method Extended by Successive Approximations and Applied to Earth’s Gravity Field Recovery (Petr Holota, Otakar Nesvadba)....Pages 33-39 On Combining the Directional Solutions of the Gravitational Curvature Boundary-Value Problem (Martin Pitoňák, Pavel Novák, Michal àprlák, Robert Tenzer)....Pages 41-47 Front Matter ....Pages 49-49 Review of Reference Frame Representations for a Deformable Earth (Zuheir Altamimi, Paul Rebischung, Xavier Collilieux, Laurent Métivier, Kristel Chanard)....Pages 51-56 Impacts of the LARES and LARES-2 Satellite Missions on the SLR Terrestrial Reference Frame (Rolf König, Susanne Glaser, Ignazio Ciufolini, Antonio Paolozzi)....Pages 57-65 Permanent GNSS Network Optimization Considering TectonicMotions (Lisa Pertusini, Giulio Tagliaferro, Rosa Pacione, Giuseppe Bianco)....Pages 67-75 Front Matter ....Pages 77-77 Adjustment of Gauss-Helmert Models with Autoregressive and Student Errors (Boris Kargoll, Mohammad Omidalizarandi, Hamza Alkhatib)....Pages 79-87 How Abnormal Are the PDFs of the DIA Method: A Quality Description in the Context of GNSS (Safoora Zaminpardaz, Peter J. G. Teunissen)....Pages 89-97 Controlling the Bias Within Free Geodetic Networks (Burkhard Schaffrin, Kyle Snow)....Pages 99-105 Regularized Solutions of the Two Layers Inverse Gravimetric Problem in the Space of Bounded Variation Functions (Martina Capponi, Daniele Sampietro, Fernando Sansò)....Pages 107-116 Converted Total Least Squares Method and Gauss-Helmert Model with Applications to Coordinate Transformations (Jianqing Cai, Dalu Dong, Nico Sneeuw, Yibin Yao)....Pages 117-125 A Bayesian Nonlinear Regression Model Based on t-Distributed Errors (Alexander Dorndorf, Boris Kargoll, Jens-André Paffenholz, Hamza Alkhatib)....Pages 127-135 The GNSS for Meteorology (G4M) Procedure and Its Application to Four Significant Weather Events (Lorenzo Benvenuto, Ilaria Ferrando, Bianca Federici, Domenico Sguerso)....Pages 137-145 Front Matter ....Pages 147-147 Modeling the Gravitational Field by Using CFD Techniques (Zhi Yin, Nico Sneeuw)....Pages 149-156 Surface Loading of a Self-Gravitating, Laterally Heterogeneous Elastic Sphere: Preliminary Result for the 2D Case (Yoshiyuki Tanaka, Volker Klemann, Zdeněk Martinec)....Pages 157-163 Using Structural Risk Minimization to Determine the Optimal Complexity of B-Spline Surfaces for Modelling Correlated Point Cloud Data (Corinna Harmening, Hans Neuner)....Pages 165-174 On the Numerical Implementation of a Perturbation Method for Satellite Gravity Mapping (Christopher Jekeli, Nlingi Habana)....Pages 175-180 Front Matter ....Pages 181-181 Non-Recursive Representation of an Autoregressive Process Within the Magic Square (Ina Loth, Boris Kargoll, Wolf-Dieter Schuh)....Pages 183-189 A Bootstrap Approach to Testing for Time-Variability of AR Process Coefficients in Regression Time Series with t-Distributed White Noise Components (Hamza Alkhatib, Mohammad Omidalizarandi, Boris Kargoll)....Pages 191-197 Identification of Suspicious Data for Robust Estimation of Stochastic Processes (Till Schubert, Jan Martin Brockmann, Wolf-Dieter Schuh)....Pages 199-207 Quality and Distribution of Terrestrial Gravity Data for Precise Regional Geoid Modeling: A Generalized Setup (Christian Gerlach, Vegard Ophaug, Ove Christian Dahl Omang, Martina Idžanović)....Pages 209-215 Front Matter ....Pages 217-217 Geodesy and Mathematics: Interactions, Acquisitions, and Open Problems (Willi Freeden, Fernando Sansò)....Pages 219-250 Back Matter ....Pages 251-256