000 04988nam a22005415i 4500
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003 DE-He213
005 20140220082843.0
007 cr nn 008mamaa
008 130215s2013 gw | s |||| 0|eng d
020 _a9783540747000
_9978-3-540-74700-0
024 7 _a10.1007/978-3-540-74700-0
_2doi
050 4 _aQC801-809
072 7 _aPHVG
_2bicssc
072 7 _aSCI032000
_2bisacsh
082 0 4 _a550
_223
082 0 4 _a526.1
_223
100 1 _aSansò, Fernando.
_eeditor.
245 1 0 _aGeoid Determination
_h[electronic resource] :
_bTheory and Methods /
_cedited by Fernando Sansò, Michael G. Sideris.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2013.
300 _aXXI, 734 p. 251 illus., 74 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Earth System Sciences,
_x2193-8571 ;
_v110
505 0 _aPart I: 1. The forward modelling of the gravity field -- 2. Observable of physical geodesy and their analytical representation -- 3. Harmonic calculus and global gravity models -- 4. The local modellling of the gravity field: terrain effects -- 5. The local modelling of the gravity field by collocation.-  Part II: 6. Global gravitational Models -- 7. Geoid determination by 3D least squares collaction -- 8. Mass reductions in geoid modelling -- 9. Marine gravity and geoid from satellite altimetry -- 10. Geoid determination by fast Fourier transform techniques -- 11 -- Combination of heights -- Part III: 12. Hilbert spaces and deterministic collacation -- 13. On potential theory and HS of harmonic functions -- 14. A quick look to classical BVP solutions -- 15. The analysis of geodetic boundary value problems (BVP) in linear form.
520 _aKnowledge of the Earth’s gravity field is an essential component for understanding the physical system of the Earth. Inside the masses, the field interacts with many other fields, according to complicated processes of physical and chemical nature; the study of these phenomena is the object of geophysics. Outside the masses, the gravity field smoothes out in agreement with the “harmonic” character of gravitation, while preserving, particularly close to the Earth’s surface, the signature of the internal processes; the study of the gravity field on the boundary and in the external space is the object of physical geodesy. It is necessary to define a separation surface between the masses and the “free” space. This surface is the geoid, an equipotential surface of the gravity field in a stack of such surfaces, close to the surface of the sea. Determining the geoid, or some other surface closer to the Earth's surface, has become synonymous to modelling the gravity field in physical geodesy; this is the subject of this book. Nowadays, this knowledge has become a practical issue also for engineering and other applications, because the geoid is used as a reference surface (datum) of physical heights that is very important in order to relate such heights to purely geometric ones obtained, for example, from GNSS. The methods currently used to produce the geoid at the centimetre level require significant mathematical, stochastic and numerical analysis. The book is structured in such a way as to provide self consistently all the necessary theoretical concepts, from the most elementary ones, such as Newton’s gravitation law, to the most complicated ones dealing with the stability of solutions of boundary value problems. It also provides a full description of the available numerical techniques for precise geoid and quasi-geoid determination. In this way, the book can be used by both students at the undergraduate and graduate level, as well as by researchers engaged in studies in physical geodesy and in geophysics. The text is accompanied by a number of examples, from most elementary to more advanced, as well as by exercises that illustrate the main concepts and computational methods.
650 0 _aGeography.
650 0 _aPhysical geography.
650 0 _aGeographical information systems.
650 0 _aMagnetism.
650 1 4 _aEarth Sciences.
650 2 4 _aGeophysics/Geodesy.
650 2 4 _aEarth Sciences, general.
650 2 4 _aEarth Sciences, general.
650 2 4 _aGeotechnical Engineering & Applied Earth Sciences.
650 2 4 _aMagnetism, Magnetic Materials.
650 2 4 _aGeographical Information Systems/Cartography.
700 1 _aSideris, Michael G.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540746997
830 0 _aLecture Notes in Earth System Sciences,
_x2193-8571 ;
_v110
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-540-74700-0
912 _aZDB-2-EES
999 _c96711
_d96711