Global gravity field modelling using satellite gravity gradiometry:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Delft
Nederlandse Commissie voor Geodesie
1993
|
| Series: | [Publications on geodesy / New series]
38 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 231 S. graph. Darst. |
| ISBN: | 9061322464 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | Contents
Acknowledgements vi
Abbreviations vi
Abstract vii
1 Introduction 1
2 Satellite gradiometry: principles and applications 8
2 1 Principle of satellite gradiometry 8
2 2 Applications 12
2 3 Aristoteles 17
3 The gradient tensor and its series representation in different coor-
dinate systems 21
3 1 Potential derivatives in different coordinate systems 23
311 Algorithm 24
312 Transformation formulae for the potential derivatives 27
3 2 Series expansion of the potential and its derivatives 32
321 Spherical harmonics 32
322 Orbital coordinates - 35
3 3 Synthesis and analysis 38
4 Global gradiometric analysis 51
4 1 Least squares analysis 4 ^—»- 52
4 2 Colombo’s method of error analysis 57
421 Normal matrix 60
422 Presentation 64
423 Ideal case 68
424 Band limitation 80
425 Polar gaps 84
426 Stabilization 90
427 Omission, commission and smoothing 99
iii
428 Aristoteles 105
429 Some computational aspects Ill
4 2 10 Conclusions 113
4 2 11 Other error analysis methods 114
4 3 Global recovery 116
431 Linear model 116
432 Iteration 120
433 Space-like v time-like 123
434 Simulated data 127
435 Space-like results 128
436 Time-like results 132
437 Some computational aspects 133
438 Conclusions 135
5 Relativistic view on gradiometry 138
5 1 Some aspects of the general theory of relativity 140
511 The spacetime of relativity 141
512 Equations of motion 143
513 The principle of equivalence 146
514 The Einstein field equations 149
5 2 Weak field approximation 151
521 Newtonian limit 151
522 Linear approximation in relativistic terms 153
5 3 Post-Newtonian approximation 156
5 4 Equations of motion revisited 158
5 5 Equation of geodesic deviation 164
Conclusions 174
A Inclination functions 180
B Index notation and tensor analysis 185
B l Index notation 186
B11 Kernel letters 186
Bl2 Indices 187
Bl3 Matrices 189
B 2 Tensor analysis 194
B21 Tensor 195
B22 Co- and contravariant 197
B23 Derivatives 202
B 3 Geometry 205
B31 Spaces 206
B32 Metric 207
IV
B33 Curvature
C Coordinate systems
C l Definition
C 2 Metric and Christoffel symbol
References
211
213
214
218
|
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| id | DE-604.BV009977742 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:44:17Z |
| institution | BVB |
| isbn | 9061322464 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006612590 |
| oclc_num | 28315645 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-M100 |
| owner_facet | DE-91 DE-BY-TUM DE-M100 |
| physical | VIII, 231 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Nederlandse Commissie voor Geodesie |
| record_format | marc |
| series2 | [Publications on geodesy / New series] |
| spelling | Koop, Radboud Verfasser aut Global gravity field modelling using satellite gravity gradiometry Radboud Koop Delft Nederlandse Commissie voor Geodesie 1993 VIII, 231 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier [Publications on geodesy / New series] 38 Gravimetrie gtt Kunstmatige satellieten gtt Gravity Measurement Magnetometers Satellite geodesy New series] [Publications on geodesy 38 (DE-604)BV001893158 38 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006612590&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Koop, Radboud Global gravity field modelling using satellite gravity gradiometry Gravimetrie gtt Kunstmatige satellieten gtt Gravity Measurement Magnetometers Satellite geodesy |
| title | Global gravity field modelling using satellite gravity gradiometry |
| title_auth | Global gravity field modelling using satellite gravity gradiometry |
| title_exact_search | Global gravity field modelling using satellite gravity gradiometry |
| title_full | Global gravity field modelling using satellite gravity gradiometry Radboud Koop |
| title_fullStr | Global gravity field modelling using satellite gravity gradiometry Radboud Koop |
| title_full_unstemmed | Global gravity field modelling using satellite gravity gradiometry Radboud Koop |
| title_short | Global gravity field modelling using satellite gravity gradiometry |
| title_sort | global gravity field modelling using satellite gravity gradiometry |
| topic | Gravimetrie gtt Kunstmatige satellieten gtt Gravity Measurement Magnetometers Satellite geodesy |
| topic_facet | Gravimetrie Kunstmatige satellieten Gravity Measurement Magnetometers Satellite geodesy |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006612590&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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