Geoid Determination: Theory and Methods
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer
2013
|
| Series: | Lecture Notes in Earth System Sciences
110 |
| Subjects: | |
| Online Access: | BTU01 FFW01 TUM01 UBG01 UBR01 UBT01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (XXI, 734 p. 251 illus., 74 illus. in color) |
| ISBN: | 9783540747000 |
| DOI: | 10.1007/978-3-540-74700-0 |
Staff View
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Record in the Search Index
| _version_ | 1804150163056361472 |
|---|---|
| adam_text | GEOID DETERMINATION
/
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PART 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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
GEOID DETERMINATION
/
: 2013
ABSTRACT / INHALTSTEXT
KNOWLEDGE 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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Sansò, Fernando 1945- |
| author_GND | (DE-588)1082398675 |
| author_facet | Sansò, Fernando 1945- |
| author_role | aut |
| author_sort | Sansò, Fernando 1945- |
| author_variant | f s fs |
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| discipline | Geowissenschaften Umwelt |
| doi_str_mv | 10.1007/978-3-540-74700-0 |
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| indexdate | 2024-07-10T00:34:33Z |
| institution | BVB |
| isbn | 9783540747000 |
| language | English |
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| publisher | Springer |
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| series | Lecture Notes in Earth System Sciences |
| series2 | Lecture Notes in Earth System Sciences |
| spelling | Sansò, Fernando 1945- Verfasser (DE-588)1082398675 aut Geoid Determination Theory and Methods edited by Fernando Sansò, Michael G. Sideris Berlin, Heidelberg Springer 2013 1 Online-Ressource (XXI, 734 p. 251 illus., 74 illus. in color) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Earth System Sciences 110 Geografie Geography Physical geography Geographical information systems Magnetism Geoid (DE-588)4156687-7 gnd rswk-swf Geoid (DE-588)4156687-7 s DE-604 Sideris, Michael G. Sonstige oth Lecture Notes in Earth System Sciences 110 (DE-604)BV040313952 110 https://doi.org/10.1007/978-3-540-74700-0 Resolving-System Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025860154&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025860154&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Sansò, Fernando 1945- Geoid Determination Theory and Methods Lecture Notes in Earth System Sciences Geografie Geography Physical geography Geographical information systems Magnetism Geoid (DE-588)4156687-7 gnd |
| subject_GND | (DE-588)4156687-7 |
| title | Geoid Determination Theory and Methods |
| title_auth | Geoid Determination Theory and Methods |
| title_exact_search | Geoid Determination Theory and Methods |
| title_full | Geoid Determination Theory and Methods edited by Fernando Sansò, Michael G. Sideris |
| title_fullStr | Geoid Determination Theory and Methods edited by Fernando Sansò, Michael G. Sideris |
| title_full_unstemmed | Geoid Determination Theory and Methods edited by Fernando Sansò, Michael G. Sideris |
| title_short | Geoid Determination |
| title_sort | geoid determination theory and methods |
| title_sub | Theory and Methods |
| topic | Geografie Geography Physical geography Geographical information systems Magnetism Geoid (DE-588)4156687-7 gnd |
| topic_facet | Geografie Geography Physical geography Geographical information systems Magnetism Geoid |
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