Gravity Inversion and Integration : Theory and Applications in Geodesy and Geophysics /: Theory and Applications in Geodesy and Geophysics. (2017)

• Record Type: Book
• Further Information: Note: Lars E. Sjöberg, Mohammad Bagherbandi.
• Authors: Sjöberg, Lars E; Bagherbandi, Mohammad
• Contents: Preface1 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 datum2. 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 23. 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 exercises4. 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 formula5. Corrections in geoid determination5.1. Introduction5.2. Topographic corrections5.3. The downward continuation correction5.4. Atmospheric corrections5.5. Ellipsoidal corrections5.6. Corrections in quasigeoid determination6. 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 remarksReferences7. 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 geodesyAppendix8. Gravity inversion8.1. Introduction8.2. Basic formulas in inversion of satellite gravity field models8.3. Bouguer, no-topography and isostatic gravity anomalies and disturbances8.4. Isostasy8.5. Moho determination by Vening Meinesz-Moritz theory8.6. Tectonic stress in the mantle8.7. Temporal changes of the gravity field8.8. Viscosity in the mantle9. Concluding remarks and outlookIndex.
• Publisher Details: Cham : Springer
• Publication Date: 2017
• Copyright Date: 2017
• Extent: 1 online resource (383 pages)
• Subjects: Earth sciences; Science -- Earth Sciences -- General; Earth sciences; Physical geography; Science -- Geophysics; Geophysics
• Languages: English
• ISBNs: 9783319502984
• Related ISBNs: 9783319502977
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.