Physical geodesy:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Wien [u.a.]
Springer
2006
|
| Ausgabe: | 2., corr. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | XVII, 403 S. graph. Darst. |
| ISBN: | 3211335447 9783211335444 |
Internformat
MARC
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| 100 | 1 | |a Hofmann-Wellenhof, Bernhard |d 1951- |e Verfasser |0 (DE-588)136993060 |4 aut | |
| 245 | 1 | 0 | |a Physical geodesy |c Bernhard Hofmann-Wellenhof ; Helmut Moritz |
| 250 | |a 2., corr. ed. | ||
| 264 | 1 | |a Wien [u.a.] |b Springer |c 2006 | |
| 300 | |a XVII, 403 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Geodésia física |2 larpcal | |
| 650 | 7 | |a Geodésia |2 larpcal | |
| 650 | 4 | |a Geodesy |v Textbooks | |
| 650 | 4 | |a Gravity |x Measurement |v Textbooks | |
| 650 | 0 | 7 | |a Physikalisches Verfahren |0 (DE-588)4315730-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Geodäsie |0 (DE-588)4020202-1 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Physikalisches Verfahren |0 (DE-588)4315730-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Moritz, Helmut |d 1933-2022 |e Verfasser |0 (DE-588)141009160 |4 aut | |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016761924&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016761924&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Klappentext |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-016761924 | ||
Datensatz im Suchindex
| _version_ | 1804138052255219712 |
|---|---|
| adam_text | Contents
Motivation 1
1 Fundamentals
of potential theory
3
1.1
Attraction and potential
..................... 3
1.2
Potential of a solid body
..................... 6
1.3
Harmonic functions
........................ 8
1.4
Laplace s equation in spherical coordinates
.......... 9
1.5
Spherical harmonics
....................... 11
1.6
Surface spherical harmonics
................... 12
1.7
Legendre s functions
....................... 14
1.8
Legendre s functions of the second kind
............ 19
1.9
Expansion theorem and orthogonality relations
........ 21
1.10
Fully normalized spherical harmonics
.............. 23
1.11
Expansion of the reciprocal distance into zonal harmonics
and decomposition formula
................... 25
1.12
Solution of Dirichlet s problem by means of spherical
harmonics and
Poisson s
integral
................ 27
1.13
Other boundary-value problems
................. 29
1.14
The radial derivative of a harmonic function
.......... 32
1.15
Laplace s equation in ellipsoidal-harmonic coordinates
.... 34
1.16
Ellipsoidal harmonics
....................... 37
2
Gravity field of the earth
43
2.1
Gravity
.............................. 43
2.2
Level surfaces and plumb lines
................. 46
2.3
Curvature of level surfaces and plumb lines
.......... 48
2.4
Natural coordinates
....................... 54
2.5
The potential of the earth in terms of spherical harmonics
. . 56
2.6
Harmonics of lower degree
.................... 61
2.7
The gravity field of the level ellipsoid
.............. 64
2.8
Normal gravity
.......................... 69
2.9
Expansion of the normal potential in spherical harmonics
. . 73
2.10
Series expansions for the normal gravity field
......... 76
2.11
Reference ellipsoid
-
numerical values
............. 83
2.12
Anomalous gravity field, geoidal undulations, and deflections
of the vertical
........................... 90
xiv
Contents
2.13
Spherical approximation and expansion of the disturbing
potential in spherical harmonics
................. 96
2.14
Gravity anomalies outside the earth
.............. 99
2.15
Stokes formula
.......................... 102
2.16
Explicit form of Stokes integral and Stokes function in
spherical harmonics
........................ 105
2.17
Generalization to an arbitrary reference ellipsoid
....... 109
2.18
Gravity disturbances and Koch s formula
........... 115
2.19
Deflections of the vertical and formula of Vening Meinesz
. . 116
2.20
The vertical gradient of gravity
................. 119
2.21
Practical evaluation of the integral formulas
.......... 122
3
Gravity reduction
129
3.1
Introduction
............................ 129
3.2
Auxiliary formulas
........................ 130
3.3
Free-air reduction
......................... 134
3.4
Bouguer reduction
........................ 135
3.5
Poincaré
and Prey reduction
.................. 138
3.6
Isostatic reduction
........................ 141
3.6.1
Isostasy
.......................... 141
3.6.2
Topographic-isostatic reductions
............ 146
3.7
The indirect effect
........................ 149
3.8
The inversion reduction of Rudzki
............... 151
3.9
The condensation reduction of Helmert
............. 153
4
Heights
157
4.1
Spirit leveling
........................... 157
4.2
Geopotential numbers and dynamic heights
.......... 159
4.3
Orthometric heights
....................... 161
4.4
Normal heights
.......................... 166
4.5
Comparison of different height systems
............. 168
4.6
GPS leveling
........................... 171
5
The geometry of the earth
173
5.1
Overview
............................. 173
Part I: Global reference systems after GPS
............. 175
5.2
Introduction
............................ 175
5.3
The Global Positioning System
................. 176
5.3.1
Basic concept
....................... 177
5.3.2
System architecture
................... 177
5.3.3
Satellite signal and
observables
............. 181
Contents xv
5.3.4 System
capabilities and accuracies
........... 183
5.3.5
GPS modernization concept
............... 186
5.4
From GPS to coordinates
.................... 187
5.4.1
Point positioning with code pseudoranges
....... 188
5.4.2
Relative positioning with phase pseudoranges
..... 189
5.5
Projection onto the ellipsoid
................... 192
5.6
Coordinate transformations
................... 193
5.6.1
Ellipsoidal and rectangular coordinates
........ 193
5.6.2
Ellipsoidal, ellipsoidal-harmonic, and spherical
coordinates
........................ 197
5.7
Geodetic datum transformations
................ 198
5.7.1
Introduction
....................... 198
5.7.2
Three-dimensional transformation in general form
. . 199
5.7.3
Three-dimensional transformation between WGS
84
and a local system
.................... 201
5.7.4
Differential formulas for other datum transformations
203
Part II: Three-dimensional geodesy: a transition
.......... 207
5.8
The three-dimensional geodesy of Brims and Hotine
..... 207
5.9
Global coordinates and local level coordinates
......... 208
5.10
Combining terrestrial data and GPS
.............. 210
5.10.1
Common coordinate system
............... 210
5.10.2
Representation of measurement quantities
....... 211
Part III: Local geodetic
datums
.................... 216
5.11
Formulation of the problem
................... 216
5.12
Reduction of the astronomical measurements to the ellipsoid
217
5.13
Reduction of horizontal and vertical angles and of distances
. 221
5.14
The astrogeodetic determination of the
geoid
......... 223
5.15
Reduction for the curvature of the plumb line
......... 228
5.16
Best-fitting ellipsoids and the mean earth ellipsoid
...... 233
6
Gravity field outside the earth
239
6.1
Introduction
............................ 239
6.2
Normal gravity vector
...................... 240
6.3
Gravity disturbance vector from gravity anomalies
...... 242
6.4
Gravity disturbances by upward continuation
......... 247
6.5
Additional considerations
.................... 249
6.6
Gravity anomalies and disturbances compared
......... 252
7
Space methods
255
7.1
Introduction
............................ 255
7.2
Satellite orbits
.......................... 257
xvi Contents
7.3 Determination
of
zonal
harmonics................
261
7.4
Rectangular coordinates of the satellite and perturbations
. . 267
7.5
Determination of
tesserai
harmonics and station positions
. . 271
7.6
New satellite gravity missions
.................. 274
7.6.1
Motivation and introductory considerations
...... 274
7.6.2
Measurement concepts
.................. 277
7.6.3
The CHAMP mission
.................. 280
7.6.4
The GRACE mission
................... 282
7.6.5
The
GOCE
mission
................... 284
8
Modern views on the determination of the figure
of the earth
289
8.1
Introduction
............................ 289
Part I: Gravimetric methods
..................... 290
8.2
Gravity reductions and the
geoid
................ 290
8.3
Geodetic boundary-value problems
............... 294
8.4
Molodensky s approach and linearization
............ 296
8.5
The spherical case
........................ 302
8.6
Solution by analytical continuation
............... 303
8.6.1
The idea
.......................... 303
8.6.2
First-order solution
.................... 304
8.6.3
Higher-order solution
................... 308
8.6.4
Problems of analytical continuation
.......... 308
8.6.5
Another perspective
................... 311
8.7
Deflections of the vertical
.................... 314
8.8
Gravity disturbances: the GPS case
............... 317
8.9
Gravity reduction in the modern theory
............ 318
8.10
Determination of the
geoid
from ground-level anomalies
. . . 324
8.11
A first balance
.......................... 326
Part II: Astrogeodetic methods according to Molodensky
..... 329
8.12
Some background
......................... 329
8.13
Astronomical leveling revisited
................. 336
8.14
Topographic-isostatic reduction of vertical deflections
..... 338
8.15
The meaning of the
geoid
.................... 341
9
Statistical methods in physical geodesy
345
9.1
Introduction
............................ 345
9.2
The covariance function
..................... 346
9.3
Expansion of the covariance function in spherical harmonics
. 350
9.4
Interpolation and extrapolation of gravity anomalies
..... 355
9.5
Accuracy of prediction methods
................. 358
Contents xvii
9.6
Least-squares prediction
.....................361
9.7
Correlation with height
.....................363
10
Least-squares collocation
369
10.1
Principles of least-squares collocation
..............369
10.2
Application of collocation to
geoid
determination
.......375
11
Computational methods
379
11.1
The remove-restore principle
..................379
11.2
Geoid
in Austria by collocation
.................381
11.3
Molodensky corrections
.....................384
11.4
The
geoid
on the internet
....................388
References
389
Subject index
397
Physical Geodesy by Heiskanen and
Moritz,
published in
1967,
was considered the standard
introduction to its field for a long time.
The enormous progress since then, however, led
to the idea of reworking the material. While the
basic body was retained in its original form
whenever possible, several parts required a thor¬
ough updating and supplementing.This con¬
cerned, above all, the adaptation to the fact that
the geometry can now be determined precisely
by methods such as GPS and that new satellite
gravity missions, combined with terrestrial
methods, enable a detailed determination of the
earth s gravitational field. Also new is an intro¬
duction to least-squares collocation.The treat¬
ment of Molodensky s theory has been complete¬
ly updated.
|
| adam_txt |
Contents
Motivation 1
1 Fundamentals
of potential theory
3
1.1
Attraction and potential
. 3
1.2
Potential of a solid body
. 6
1.3
Harmonic functions
. 8
1.4
Laplace's equation in spherical coordinates
. 9
1.5
Spherical harmonics
. 11
1.6
Surface spherical harmonics
. 12
1.7
Legendre's functions
. 14
1.8
Legendre's functions of the second kind
. 19
1.9
Expansion theorem and orthogonality relations
. 21
1.10
Fully normalized spherical harmonics
. 23
1.11
Expansion of the reciprocal distance into zonal harmonics
and decomposition formula
. 25
1.12
Solution of Dirichlet's problem by means of spherical
harmonics and
Poisson 's
integral
. 27
1.13
Other boundary-value problems
. 29
1.14
The radial derivative of a harmonic function
. 32
1.15
Laplace's equation in ellipsoidal-harmonic coordinates
. 34
1.16
Ellipsoidal harmonics
. 37
2
Gravity field of the earth
43
2.1
Gravity
. 43
2.2
Level surfaces and plumb lines
. 46
2.3
Curvature of level surfaces and plumb lines
. 48
2.4
Natural coordinates
. 54
2.5
The potential of the earth in terms of spherical harmonics
. . 56
2.6
Harmonics of lower degree
. 61
2.7
The gravity field of the level ellipsoid
. 64
2.8
Normal gravity
. 69
2.9
Expansion of the normal potential in spherical harmonics
. . 73
2.10
Series expansions for the normal gravity field
. 76
2.11
Reference ellipsoid
-
numerical values
. 83
2.12
Anomalous gravity field, geoidal undulations, and deflections
of the vertical
. 90
xiv
Contents
2.13
Spherical approximation and expansion of the disturbing
potential in spherical harmonics
. 96
2.14
Gravity anomalies outside the earth
. 99
2.15
Stokes' formula
. 102
2.16
Explicit form of Stokes' integral and Stokes' function in
spherical harmonics
. 105
2.17
Generalization to an arbitrary reference ellipsoid
. 109
2.18
Gravity disturbances and Koch's formula
. 115
2.19
Deflections of the vertical and formula of Vening Meinesz
. . 116
2.20
The vertical gradient of gravity
. 119
2.21
Practical evaluation of the integral formulas
. 122
3
Gravity reduction
129
3.1
Introduction
. 129
3.2
Auxiliary formulas
. 130
3.3
Free-air reduction
. 134
3.4
Bouguer reduction
. 135
3.5
Poincaré
and Prey reduction
. 138
3.6
Isostatic reduction
. 141
3.6.1
Isostasy
. 141
3.6.2
Topographic-isostatic reductions
. 146
3.7
The indirect effect
. 149
3.8
The inversion reduction of Rudzki
. 151
3.9
The condensation reduction of Helmert
. 153
4
Heights
157
4.1
Spirit leveling
. 157
4.2
Geopotential numbers and dynamic heights
. 159
4.3
Orthometric heights
. 161
4.4
Normal heights
. 166
4.5
Comparison of different height systems
. 168
4.6
GPS leveling
. 171
5
The geometry of the earth
173
5.1
Overview
. 173
Part I: Global reference systems after GPS
. 175
5.2
Introduction
. 175
5.3
The Global Positioning System
. 176
5.3.1
Basic concept
. 177
5.3.2
System architecture
. 177
5.3.3
Satellite signal and
observables
. 181
Contents xv
5.3.4 System
capabilities and accuracies
. 183
5.3.5
GPS modernization concept
. 186
5.4
From GPS to coordinates
. 187
5.4.1
Point positioning with code pseudoranges
. 188
5.4.2
Relative positioning with phase pseudoranges
. 189
5.5
Projection onto the ellipsoid
. 192
5.6
Coordinate transformations
. 193
5.6.1
Ellipsoidal and rectangular coordinates
. 193
5.6.2
Ellipsoidal, ellipsoidal-harmonic, and spherical
coordinates
. 197
5.7
Geodetic datum transformations
. 198
5.7.1
Introduction
. 198
5.7.2
Three-dimensional transformation in general form
. . 199
5.7.3
Three-dimensional transformation between WGS
84
and a local system
. 201
5.7.4
Differential formulas for other datum transformations
203
Part II: Three-dimensional geodesy: a transition
. 207
5.8
The three-dimensional geodesy of Brims and Hotine
. 207
5.9
Global coordinates and local level coordinates
. 208
5.10
Combining terrestrial data and GPS
. 210
5.10.1
Common coordinate system
. 210
5.10.2
Representation of measurement quantities
. 211
Part III: Local geodetic
datums
. 216
5.11
Formulation of the problem
. 216
5.12
Reduction of the astronomical measurements to the ellipsoid
217
5.13
Reduction of horizontal and vertical angles and of distances
. 221
5.14
The astrogeodetic determination of the
geoid
. 223
5.15
Reduction for the curvature of the plumb line
. 228
5.16
Best-fitting ellipsoids and the mean earth ellipsoid
. 233
6
Gravity field outside the earth
239
6.1
Introduction
. 239
6.2
Normal gravity vector
. 240
6.3
Gravity disturbance vector from gravity anomalies
. 242
6.4
Gravity disturbances by upward continuation
. 247
6.5
Additional considerations
. 249
6.6
Gravity anomalies and disturbances compared
. 252
7
Space methods
255
7.1
Introduction
. 255
7.2
Satellite orbits
. 257
xvi Contents
7.3 Determination
of
zonal
harmonics.
261
7.4
Rectangular coordinates of the satellite and perturbations
. . 267
7.5
Determination of
tesserai
harmonics and station positions
. . 271
7.6
New satellite gravity missions
. 274
7.6.1
Motivation and introductory considerations
. 274
7.6.2
Measurement concepts
. 277
7.6.3
The CHAMP mission
. 280
7.6.4
The GRACE mission
. 282
7.6.5
The
GOCE
mission
. 284
8
Modern views on the determination of the figure
of the earth
289
8.1
Introduction
. 289
Part I: Gravimetric methods
. 290
8.2
Gravity reductions and the
geoid
. 290
8.3
Geodetic boundary-value problems
. 294
8.4
Molodensky's approach and linearization
. 296
8.5
The spherical case
. 302
8.6
Solution by analytical continuation
. 303
8.6.1
The idea
. 303
8.6.2
First-order solution
. 304
8.6.3
Higher-order solution
. 308
8.6.4
Problems of analytical continuation
. 308
8.6.5
Another perspective
. 311
8.7
Deflections of the vertical
. 314
8.8
Gravity disturbances: the GPS case
. 317
8.9
Gravity reduction in the modern theory
. 318
8.10
Determination of the
geoid
from ground-level anomalies
. . . 324
8.11
A first balance
. 326
Part II: Astrogeodetic methods according to Molodensky
. 329
8.12
Some background
. 329
8.13
Astronomical leveling revisited
. 336
8.14
Topographic-isostatic reduction of vertical deflections
. 338
8.15
The meaning of the
geoid
. 341
9
Statistical methods in physical geodesy
345
9.1
Introduction
. 345
9.2
The covariance function
. 346
9.3
Expansion of the covariance function in spherical harmonics
. 350
9.4
Interpolation and extrapolation of gravity anomalies
. 355
9.5
Accuracy of prediction methods
. 358
Contents xvii
9.6
Least-squares prediction
.361
9.7
Correlation with height
.363
10
Least-squares collocation
369
10.1
Principles of least-squares collocation
.369
10.2
Application of collocation to
geoid
determination
.375
11
Computational methods
379
11.1
The remove-restore principle
.379
11.2
Geoid
in Austria by collocation
.381
11.3
Molodensky corrections
.384
11.4
The
geoid
on the internet
.388
References
389
Subject index
397
"Physical Geodesy" by Heiskanen and
Moritz,
published in
1967,
was considered the standard
introduction to its field for a long time.
The enormous progress since then, however, led
to the idea of reworking the material. While the
basic body was retained in its original form
whenever possible, several parts required a thor¬
ough updating and supplementing.This con¬
cerned, above all, the adaptation to the fact that
the geometry can now be determined precisely
by methods such as GPS and that new satellite
gravity missions, combined with terrestrial
methods, enable a detailed determination of the
earth's gravitational field. Also new is an intro¬
duction to least-squares collocation.The treat¬
ment of Molodensky's theory has been complete¬
ly updated. |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Hofmann-Wellenhof, Bernhard 1951- Moritz, Helmut 1933-2022 |
| author_GND | (DE-588)136993060 (DE-588)141009160 |
| author_facet | Hofmann-Wellenhof, Bernhard 1951- Moritz, Helmut 1933-2022 |
| author_role | aut aut |
| author_sort | Hofmann-Wellenhof, Bernhard 1951- |
| author_variant | b h w bhw h m hm |
| building | Verbundindex |
| bvnumber | BV035093851 |
| callnumber-first | Q - Science |
| callnumber-label | QB281 |
| callnumber-raw | QB281 |
| callnumber-search | QB281 |
| callnumber-sort | QB 3281 |
| callnumber-subject | QB - Astronomy |
| classification_rvk | RB 10109 ZI 9150 |
| classification_tum | BAU 940f |
| ctrlnum | (OCoLC)74713357 (DE-599)BVBBV035093851 |
| dewey-full | 526.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 526 - Mathematical geography |
| dewey-raw | 526.1 |
| dewey-search | 526.1 |
| dewey-sort | 3526.1 |
| dewey-tens | 520 - Astronomy and allied sciences |
| discipline | Physik Bauingenieurwesen Vermessungswesen Geographie |
| discipline_str_mv | Physik Bauingenieurwesen Vermessungswesen Geographie |
| edition | 2., corr. ed. |
| format | Book |
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| id | DE-604.BV035093851 |
| illustrated | Illustrated |
| index_date | 2024-07-02T22:11:35Z |
| indexdate | 2024-07-09T21:22:03Z |
| institution | BVB |
| isbn | 3211335447 9783211335444 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016761924 |
| oclc_num | 74713357 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-83 DE-11 DE-703 DE-M100 |
| owner_facet | DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-83 DE-11 DE-703 DE-M100 |
| physical | XVII, 403 S. graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Springer |
| record_format | marc |
| spelling | Hofmann-Wellenhof, Bernhard 1951- Verfasser (DE-588)136993060 aut Physical geodesy Bernhard Hofmann-Wellenhof ; Helmut Moritz 2., corr. ed. Wien [u.a.] Springer 2006 XVII, 403 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Geodésia física larpcal Geodésia larpcal Geodesy Textbooks Gravity Measurement Textbooks Physikalisches Verfahren (DE-588)4315730-0 gnd rswk-swf Geodäsie (DE-588)4020202-1 gnd rswk-swf Geodäsie (DE-588)4020202-1 s Physikalisches Verfahren (DE-588)4315730-0 s DE-604 Moritz, Helmut 1933-2022 Verfasser (DE-588)141009160 aut Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016761924&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016761924&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Hofmann-Wellenhof, Bernhard 1951- Moritz, Helmut 1933-2022 Physical geodesy Geodésia física larpcal Geodésia larpcal Geodesy Textbooks Gravity Measurement Textbooks Physikalisches Verfahren (DE-588)4315730-0 gnd Geodäsie (DE-588)4020202-1 gnd |
| subject_GND | (DE-588)4315730-0 (DE-588)4020202-1 |
| title | Physical geodesy |
| title_auth | Physical geodesy |
| title_exact_search | Physical geodesy |
| title_exact_search_txtP | Physical geodesy |
| title_full | Physical geodesy Bernhard Hofmann-Wellenhof ; Helmut Moritz |
| title_fullStr | Physical geodesy Bernhard Hofmann-Wellenhof ; Helmut Moritz |
| title_full_unstemmed | Physical geodesy Bernhard Hofmann-Wellenhof ; Helmut Moritz |
| title_short | Physical geodesy |
| title_sort | physical geodesy |
| topic | Geodésia física larpcal Geodésia larpcal Geodesy Textbooks Gravity Measurement Textbooks Physikalisches Verfahren (DE-588)4315730-0 gnd Geodäsie (DE-588)4020202-1 gnd |
| topic_facet | Geodésia física Geodésia Geodesy Textbooks Gravity Measurement Textbooks Physikalisches Verfahren Geodäsie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016761924&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016761924&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT hofmannwellenhofbernhard physicalgeodesy AT moritzhelmut physicalgeodesy |