Satellite altimetry in geodesy and oceanography:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1993
|
| Series: | Lecture notes in earth sciences
50 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 479 S. graph. Darst., Kt. |
| ISBN: | 3540568182 0387568182 |
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| 245 | 1 | 0 | |a Satellite altimetry in geodesy and oceanography |c Reiner Rummel ... (ed.) |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1993 | |
| 300 | |a XII, 479 S. |b graph. Darst., Kt. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Lecture notes in earth sciences |v 50 | |
| 650 | 4 | |a Altitudes - Mesure - Télédétection | |
| 650 | 7 | |a Geodesia |2 larpcal | |
| 650 | 4 | |a Géodésie marine - Mesure - Télédétection | |
| 650 | 4 | |a Géodésie par satellite - Technique | |
| 650 | 4 | |a Océanographie - Mesure - Télédétection | |
| 650 | 4 | |a Altitudes |x Measurement |x Remote sensing | |
| 650 | 4 | |a Marine geodesy |x Measurement |x Remote sensing | |
| 650 | 4 | |a Oceanography |x Measurement |x Remote sensing | |
| 650 | 4 | |a Satellite geodesy |x Technique | |
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| adam_text | TABLE OF CONTENTS
Introduction
B. Benciolini
LECTURES
Physics of the Ocean Circulation
C. Wunsch
1. The Ocean Circulation ..................................................... 10
Basic Physical Elements ................................................... 11
The Steady Circulation Idea ............................................... 21
The Geostrophic Approximation ............................................. 31
Seal ing ................................................................... 36
Water Masses .............................................................. 39
Steady Circulation Pictures ............................................... 41
2. The Steady Ocean Circulation .............................................. 43
2.1 Making a Quantitative, Consistent Picture ............................. 43
2.2 Deviations from Geostrophy ............................................ 50
3. Time Dependence. The Mesoscale ............................................ 56
4. Puzzles of Climate and the Ocean .......................................... 60
4.1 The Ocean in the Climate System ....................................... 62
4.2 Long-Term ............................................................. 65
4.3 Shorter Term Including the Sealevel Problem ........................... 70
4.4 Heat and Moisture Fluxes .............................................. 73
4.5 - Observations - The Future ........................................... 74
5. Quantitative Estimation Methods - Including Altimetry ..................... 76
A Final Word .............................................................. 93
References ................................................................... 94
Theory of Ocean Tides with application to Aitimetry
D.E. Cartwright
1. Historical Introduction ................................................... 100
2. The Tide Potential and its Uses ........................................... 105
2.1 Expansion of the Primary Potential .................................... 105
Expansions in time and frequency ...................................... 107
2.2 Relating Observed Tidal Phenomena to the Potential .................... 110
2.3 Secondary Tide Potentials ............................................. 113
3. Hydrodynamic Models ....................................................... 115
3.1 Dynamic Equations and Idealised Solutions ............................. 115
Free waves in flat rotating seas ...................................... 116
Solution for tides in a hemispherical sea ............................. 118
3.2 Realistic Global Ocean Models ......................................... 120
Friction .............................................................. 120
Loading potentials .................................................... 121
Normal modes and Proudman Functions ................................... 121
VIII
Data assimilation ..................................................... 123
4. Tidal Energetics and Orbital Evolution .................................... 124
4.1 Energy Dissipation in the Geosphere ................................... 124
A. Dissipation in the ocean ........................................... 126
B. Work done by the external tide-generating forces ................... 127
4.2 Satellite Orbitography and Astronomical Methods ....................... 129
C. Perturbations of satellite orbits .................................. 129
(D,E). Direct observations of lunar acceleration ...................... 132
5. Directions for Future Research ............................................ 134
5.1 Areas Where Improved Knowledge is Needed .............................. 134
5.2 Some Aspects of the Tide Signal in Altimetry .......................... 135
Components of the si gnal .............................................. 135
Al iassing ............................................................. 136
Spatial resolution .................................................... 138
The al timetri c ti de ................................................... 138
References ................................................................... 139
Quantifying Time-Varying Oceanographic Signals with Altiroetry
V. Zlotnicki
1. Introduction .............................................................. 144
2. Sea Level and Ocean Currents .............................................. 146
2.1 Basic altimetric data handling ........................................ 146
2.2 Gulf stream time-varying surface currents ............................. 148
2.3 Gulf stream time-varying deep currents ................................ 151
2.4 Weak surface currents: the Cape Verde region .......................... 156
2.5 Equatori al surface currents ........................................... 157
2.6 Closing comments ...................................................... 160
3. Total Surface Currents i n the Gul f Stream ................................. 162
3.1 Meandering. The shape of the current s sea level step ............... 162
3.2 Estimating parameters of the signal s shape ........................... 164
3.3 The two layer model to estimate total transport ....................... 165
3.4 What is new here? ..................................................... 166
4. Global Annual Cycle ....................................................... 167
4.1 Motivation: the simplest large scale signal ........................... 167
4.2 Computati onal scheme .................................................. 167
4.3 Tidal aliasing ........................................................ 169
4.4 Orbit error, water vapor, sea state bias effects ...................... 171
4.5 N.Equatorial countercurrent. Somali current ........................... 173
4.6 Heating and cool ing ................................................... 174
4.7 The ACC............................................................... 174
4.8 Summary ............................................................... 175
5. Equatorial Sea Level Assimilation and Winds ............................... 175
5.1 Getting rigorous about errors in data and models ...................... 175
5.2 The equatorial beta plane ............................................. 176
5.3 Equatorially-trapped waves ............................................ 178
5.4 The Miller and Cane formulation ....................................... 180
5.5 Kalman filter and smoother data assimilation .......................... 181
5.6 Error covariances of the altimetric data.............................. 183
5.8 Can anything be said about the wind?.................................. 184
References................................................................... 185
IX
Principle of Satellite Altimetry and Elimination of Radial Orbit Errors
R. Rummel
1. Introduction .............................................................. 190
2. Altimetric Model .......................................................... 191
2.1 Altimeter Principle ................................................... 191
2.2 Measurement Process and Error Budget .................................. 194
3. Regional Cross-Over Adjustment ............................................ 203
4. Global Cross-Over Adjustment .............................................. 214
4.1 Chronological, Segmented Cross-Over Adjustment ........................ 214
4.2 Discussion of Rank Defect and Null Space .............................. 222
4.3 Global Continuous Cross-Over Adjustment ............................... 224
4.3.1 Analytical Expression of the Radial Orbit Error ................. 224
4.3.2 Null Space of Global Adjustment ................................. 226
5. On the Separation of Sea Surface Topography and Geoid or the
Munchhausen Problem ..................................................... 228
6. Ocean Variability ......................................................... 234
References ................................................................... 239
Orbit Choice and the Theory of Radial Orbit Error for Altimetry
G. Balmino
1. Introduction and Basic Concepts ........................................... 244
1.1 The Unperturbed Satellite Orbit (two-body problem) .................... 245
1.2 Disturbing Forces on an Artificial Satellite .......................... 251
1.3 Equations of Perturbed Motion (Lagrange, Gauss, Hill) ................. 252
1.4 Approximate Analytical Solutions of the Equations of Motion ........... 259
2. The Geopotential and its Representation ................................... 262
2.1 Spherical Harmonic Representation of the Geopotential ................. 262
2.2 The Representation of the Geoid Shape ................................. 265
2.3 Transformation in Orbital Elements; Kaula s Solution .................. 266
2.4 The Determination of a Geopotential Model-Overview..................... 278
3. Temporal Representation of the Radial Perturbations due to the
Geopotential .............................................................. 283
3.1 Radial Perturbations of Zero and First Order in Eccentricity .......... 283
3.2 General Formulation of the Radial Perturbations ....................... 286
4. Temporal Characteristics of the Radial Perturbations and Errors
on a Satellite Orbit ...................................................... 288
4.1 Frequency Spectrum .................................................... 288
4.2 Radial Perturbations by Coefficient, by Order, by Degree .............. 290
4.3 The Radial Orbit Errors from Geopotential Coefficient
Covari ances ........................................................... 294
5. Spatial Representation and Characteristics of the Radial Orbit
Perturbati ons and Errors .................................................. 298
5.1 Radial Perturbations in the Spatial Domain ............................ 299
5.2 Radial Perturbations by Coefficient, by Degree and by Order ........... 302
5.3 Radial Orbit Errors in the Space Domain Based on Geopotential
Covariances ........................................................... 305
6. Conclusions in Satellite Altimetry ........................................ 311
References ................................................................... 314
Theory of Geodetic B.V.P.s Applied to the Analysis of Altimetric Data
F. Sanso
1. Introduction .............................................................. 318
1.1 The rising of B.V.P. s in Geodesy ..................................... 318
1.2 Examples of different B.V. operators for land and sea ................. 318
1.3 Classification of gravimetric B.V.P. s ................................ 321
2. The reduction of the original B.V.P.s to linearized spherical problems ___ 322
2.1 Linearization procedures .............................................. 323
2.2 A direct iterative solution to account for the irregular shape
of the boundary ....................................................... 327
2.3 Ellipsoidal effects ................................................... 328
3. Some recal 1 s of mathemati cs ............................................... 332
3.1 Hilbert spaces ........................................................ 333
3.2 Bases; linear independence; orthogonal bases; biorthogonal
sequences ............................................................. 335
3.3 Sobolev spaces of harmonic functions; duality ......................... 340
4. The analysis of the Altimetry Gravimetry I problem ........................ 345
4.1 The analysis of a simplified B.V.P .................................... 345
4.2 Uniqueness and existence of the solution of AG I ...................... 350
5. The analysis of the Altimetry Gravimetry II problem ....................... 352
5.1 Transformation of the problem into a Fredholm equation ................ 353
5.2 Uniqueness and existence of the solution .............................. 355
6. Applications .............................................................. 357
6.1 The application of AG I theory to the construction of
global models ......................................................... 358
6.2 The application of AG II theory to the construction of
local solutions ..................................................... 350
7. Conclusions............................................................... 362
Appendi x ..................................................................... 353
A.I Convergency of the approximating sequence to the right solution ........ 365
A.2 An example with two spheres ............................................. 3gg
References................................................................... 371
Use of Altimeter Data in Estimating Global Gravity Models
R.H. Rapp
1. Introduction ................................................. 274
2. Fundamental Gravimetric Relationships..................................... 375
2.1 Basic Equations ................................. .................. ,75
2.2 Consideration of Systematic Effects................................... 380
2.2.1 Atmospheric Correction: 6g. ... .......................... ^Rn
2.2.2 Ellipsoidal Corrections: e e , E . . . . . . . . . .. .................. 380
2.2.3 Second order vertical grad?entYof Ehe normal gravity: 6q......... 381
2.2.4 Analytical downward continuation: g, ....... 2 ...... 382
2.3 Estimation of the Geopotential Coefficients........................... 303
2.4 Summary............................................................... 3a6
3. Satellite Altimeter Data and Orbit Improvement............................. ,oc
3.1 Basic Model...............................;........................... ^86
3.2 Altimeter Measurement Processing...................................... ™n
3.3 The Use of Surface Gravi ty Data ..... ................................. i^i
3.4 The Combination Solution With Satell ite Al timeter bata................. iqi
3.5 The Weighting Problem ....................... ................ ^it,
3.6 Summary............................................................... ^.i
XI
4.0 The Estimation of Geoid Undulations and Gravity Anomalies from
Satellite Altimeter Data ................................................. 394
4.1 The Adjusted Sea Surface Heights ..................................... 394
4.2 The Estimation Procedure for Point Values ............................ 394
4.3 The Estimation Procedure for Mean Values ............................. 397
4.4 The Formation of a Global 30 Anomaly Data File ...................... 398
5. High Degree Expansions Using Satellite Altimeter Data ..................... 398
5.1 Solution Based on Section 2 Discussion ................................ 398
5.2 Solution Based on Section 3 Discussion ................................ 400
5.3 An Approximately Rigorous Combination Solution ........................ 405
6.0 A Comparison of Four Potential Coefficient Models ........................ 406
7. Conclusion ................................................................ 409
References ................................................................... 414
SEMINARS
The Direct Estimation of the Potential Coefficients by Biorthogonal Sequences
M.A. Brovelli and F. Migliaccio
1. Introduction .............................................................. 421
2. The Altimetry-Gravimetry problems ......................................... 422
3. The estimate of the geopotential coefficients with the first
Altimetry-Gravimetry problem .............................................. 424
4. A numerical experiment .................................................... 431
References ................................................................... 441
Frozen Orbits and their Application in Satellite Altimetry
E.J.O. Schrama
Summary ...................................................................... 443
Introduction ................................................................. 443
Deep resonance ............................................................... 444
The real world and Cook s theory ............................................. 447
Consequences for altimetry ................................................... 449
References ................................................................... 452
Integration of Gravity and Altimeter Data by Optimal Estimation Techniques
P. Knudsen
1. Introduction .............................................................. 453
2. The Mathematical Model .................................................... 453
3. Inversion of Altimetry .................................................... 455
4. Local Empirical Covariance Functions ...................................... 457
5. On Redundancy and Data Selection .......................................... 460
6. A Regional Solution in the Norwegian Sea .................................. 460
Discussion ................................................................... 465
References ................................................................... 465
XII
Comparing the UK Fine Resolution Antarctic Model (FRAN) with 3-years
of Geosat Altimeter Data
R.C.V. Feron
1. Introduction .............................................................. 467
2. Short FRAM Description .................................................... 468
3. Altimeter Data Processing ................................................. 469
4. Three Southern Ocean Current Systems ...................................... 470
4.1 The Agulhas Current ................................................... 470
4.2 The East Austral ian Current ........................................... 470
4.3 The Brazil Halvinas Confluence ........................................ 471
5. Analysis Techniques ....................................................... 471
5.1 Harmonic Analysis ..................................................... 471
5.2 Principal Component Analysis .......................................... 472
6. Application ............................................................... 472
6.1 Harmonic Analysis ..................................................... 472
6.1.1 Brazil Malvinas Confluence ...................................... 472
6.1.2 Agulhas Current ................................................. 472
6.1.3 East Australian Current ......................................... 474
6.2 Modal Decomposition ................................................... 474
6.2.1 Brazil Malvinas Confluence ...................................... 475
6.2.2 Agulhas Current ................................................. 475
6.2.3 East Austral ian Current ......................................... 476
7. Conclusions ............................................................... 477
References ................................................................... 478
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| genre | (DE-588)1071861417 Konferenzschrift 1992 Triest gnd-content |
| genre_facet | Konferenzschrift 1992 Triest |
| id | DE-604.BV008240601 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:16:56Z |
| institution | BVB |
| isbn | 3540568182 0387568182 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005440506 |
| oclc_num | 28147137 |
| open_access_boolean | |
| owner | DE-12 DE-355 DE-BY-UBR DE-703 DE-706 DE-83 DE-188 |
| owner_facet | DE-12 DE-355 DE-BY-UBR DE-703 DE-706 DE-83 DE-188 |
| physical | XII, 479 S. graph. Darst., Kt. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in earth sciences |
| series2 | Lecture notes in earth sciences |
| spelling | Satellite altimetry in geodesy and oceanography Reiner Rummel ... (ed.) Berlin [u.a.] Springer 1993 XII, 479 S. graph. Darst., Kt. txt rdacontent n rdamedia nc rdacarrier Lecture notes in earth sciences 50 Altitudes - Mesure - Télédétection Geodesia larpcal Géodésie marine - Mesure - Télédétection Géodésie par satellite - Technique Océanographie - Mesure - Télédétection Altitudes Measurement Remote sensing Marine geodesy Measurement Remote sensing Oceanography Measurement Remote sensing Satellite geodesy Technique Meereskunde (DE-588)4074685-9 gnd rswk-swf Höhenmessung (DE-588)4025352-1 gnd rswk-swf Satellitengeodäsie (DE-588)4051744-5 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1992 Triest gnd-content Meereskunde (DE-588)4074685-9 s Satellitengeodäsie (DE-588)4051744-5 s Höhenmessung (DE-588)4025352-1 s DE-604 Rummel, Reinhard 1945- Sonstige (DE-588)122144295 oth Lecture notes in earth sciences 50 (DE-604)BV023550940 50 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005440506&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Satellite altimetry in geodesy and oceanography Lecture notes in earth sciences Altitudes - Mesure - Télédétection Geodesia larpcal Géodésie marine - Mesure - Télédétection Géodésie par satellite - Technique Océanographie - Mesure - Télédétection Altitudes Measurement Remote sensing Marine geodesy Measurement Remote sensing Oceanography Measurement Remote sensing Satellite geodesy Technique Meereskunde (DE-588)4074685-9 gnd Höhenmessung (DE-588)4025352-1 gnd Satellitengeodäsie (DE-588)4051744-5 gnd |
| subject_GND | (DE-588)4074685-9 (DE-588)4025352-1 (DE-588)4051744-5 (DE-588)1071861417 |
| title | Satellite altimetry in geodesy and oceanography |
| title_auth | Satellite altimetry in geodesy and oceanography |
| title_exact_search | Satellite altimetry in geodesy and oceanography |
| title_full | Satellite altimetry in geodesy and oceanography Reiner Rummel ... (ed.) |
| title_fullStr | Satellite altimetry in geodesy and oceanography Reiner Rummel ... (ed.) |
| title_full_unstemmed | Satellite altimetry in geodesy and oceanography Reiner Rummel ... (ed.) |
| title_short | Satellite altimetry in geodesy and oceanography |
| title_sort | satellite altimetry in geodesy and oceanography |
| topic | Altitudes - Mesure - Télédétection Geodesia larpcal Géodésie marine - Mesure - Télédétection Géodésie par satellite - Technique Océanographie - Mesure - Télédétection Altitudes Measurement Remote sensing Marine geodesy Measurement Remote sensing Oceanography Measurement Remote sensing Satellite geodesy Technique Meereskunde (DE-588)4074685-9 gnd Höhenmessung (DE-588)4025352-1 gnd Satellitengeodäsie (DE-588)4051744-5 gnd |
| topic_facet | Altitudes - Mesure - Télédétection Geodesia Géodésie marine - Mesure - Télédétection Géodésie par satellite - Technique Océanographie - Mesure - Télédétection Altitudes Measurement Remote sensing Marine geodesy Measurement Remote sensing Oceanography Measurement Remote sensing Satellite geodesy Technique Meereskunde Höhenmessung Satellitengeodäsie Konferenzschrift 1992 Triest |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005440506&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV023550940 |
| work_keys_str_mv | AT rummelreinhard satellitealtimetryingeodesyandoceanography |