Relativistic Geodesy: Foundations and Applications

Introduction.- Time and frequency metrology in the context of relativistic geodesy.- Chronometric geodesy: methods and applications.- Measuring the gravitational field in General Relativity: From deviation equations and the gravitational compass to relativistic clock gradiometry.- A Snapshot of J. L. Synge.- General Relativistic Gravity Gradiometry.- Reference-ellipsoid and normal gravity field in post-Newtonian geodesy.- Anholonomity in Pre and Relativistic Geodesy.- Epistemic relativity: An experimental approach to physics.- Use of geodesy and geophysics measurements to probe the gravitational interaction.- Operationalization of basic relativistic measurements.- Can spacetime curvature be used in future navigation systems?.- World-line perturbation theory.- On the applicability of the geodesic deviation equation in General Relativity.- Measurement of frame dragging with geodetic satellites based on gravity field models from CHAMP, GRACE and beyond.- Tests of General Relativity with the LARES Satellites.