Gravity Inversion and Integration

Preface 1 Introduction1.1 Contents of the book1.2 The subject field1.3 The development of the subject field before the last millennium shift1.4 Recent developments in gravimetric theory and data1.5 Reference system, reference frame and datum 2. Basic mathematics2.1. Least squares adjustment theory2.2. Least Squares collocation2.3. Coordinate systems2.4. Legendre's polynomials2.5. Spherical harmonics2.6. Ellipsoidal harmonics2.7. Fundamentals of potential theory2.8. RegularizationAppendix 2.1. Answers to excercises in Chapter 2 3. Classical physical geodesy3.1. Introduction3.2. Basic concepts in physical geodesy3.3. Integral formulas in physical geodesy3.4. Practical considerations (DITE, DWC, SITE, PITE)3.5. Height systemsAppendix 3.1. Closed form kernelsAppendix 3.2. Solutions to exercises 4. Modern physical geodesy4.1. Introduction4.2. The quasigeoid, surface gravity anomaly and disturbance4.3. Geoid determination by spherical harmonics4.4. The modified Stokes formula4.5. Summary of modified Stokes' formula techniques4.6. The modified Hotine formula 5. Corrections in geoid determination5.1. Introduction5.2. Topographic corrections5.3. The downward continuation correction5.4. Atmospheric corrections5.5. Ellipsoidal corrections5.6. Corrections in quasigeoid determination 6. Applications and comparisons of LSMSA and RCR6.1. Introduction6.2. Geoid determination6.3. Quasigeoid determination6.4. A theoretical comparison of the RCR and LSMSA methods6.5. Practical experiences of LSMSA6.6. Case studies6.7. Concluding remarksReferences 7. Further tools in physical geodesy7.1. Quasigeoid determination7.2. Comparison of geoid and quasigeoid models7.3. Combinations of gravimetric and geometric geoid solutions7.4. The determination of W07.5. Spectral smoothing and combination7.6. Applications of atomic clocks in physical geodesyAppendix 8. Gravity inversion8.1. Introduction8.2. Basic formulas in inversion of satellite gravity field models8.3. Bouguer, no-topography and

Lars E. Sjöberg has been a professor of Geodesy at Sweden's Royal Institute of Technology (KTH) for 30 years and has been the chair of 4 IAG Special Study Groups on gravity and geodynamics. He has been the Editor-in-Chief of the Journal of Geodetic Science since it was founded in 2011. He developed the unique KTH method with additive corrections using least squares by spectral weighting of observables, as well as a method for estimating Moho depth and density contrast from gravity. He leads several international geoid schools on the KTH method, and has published more than 330 articles, mostly in peer-reviewed journals. Mohammad Bagherbandi is senior researcher at the Royal Institute of Technology (KTH) and a Professor at the University of Gävle, Sweden. His professional interests include Physical Geodesy, Geodynamics and Satellite Gravimetry. He received his Ph.D. in Geodesy from the KTH in 2011, and became an instructor at the Institute in 2013. His background is in Land Surveying Engineering, and he completed a Master of Science in Geodesy in Iran. He is currently pursuing multidisciplinary research combining directions such as Geophysics, Geodesy and Land Surveying (applied geodesy). His main research interest is in developing and interconnecting Geodesy and Geophysics.