The global mapping of gravity with two satellites:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Delft
Rijkscommissie voor Geodesie
1984
|
| Schriftenreihe: | [Publications on geodesy / new series]
7,3 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 253 S. graph. Darst. |
| ISBN: | 9061322308 |
Internformat
MARC
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| 100 | 1 | |a Colombo, Oscar L. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The global mapping of gravity with two satellites |c by Oscar L. Colombo |
| 264 | 1 | |a Delft |b Rijkscommissie voor Geodesie |c 1984 | |
| 300 | |a X, 253 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a [Publications on geodesy / new series] |v 7,3 | |
| 650 | 7 | |a Gravimetrie |2 gtt | |
| 650 | 7 | |a Kunstmatige satellieten |2 gtt | |
| 650 | 7 | |a Meetmethoden |2 gtt | |
| 650 | 4 | |a Geodetic satellites | |
| 650 | 4 | |a Gravity | |
| 650 | 4 | |a Scientific satellites | |
| 810 | 2 | |a new series] |t [Publications on geodesy |v 7,3 |w (DE-604)BV001893158 |9 7,3 | |
| 856 | 4 | 2 | |m HEBIS Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003696408&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |q TUB-nveb | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-003696408 | ||
Datensatz im Suchindex
| _version_ | 1804120093383196672 |
|---|---|
| adam_text | CONTENTS
ABSTRACT iii
A NOTE OF THANKS v
TO THE READER vii
INTRODUCTION 1
1 THE MATHEMATICAL MODEL 13
Preliminary comments and overview 13
Note on mathematical symbols 16
1 1 The relative line of sight velocity 16
1 2 The equations of motion 18
1 3 The variational equations 22
1 4 The linearized model 29
Summary 36
2 THE ANALYTICAL SOLUTION OF THE VARIATIONAL EQUATIONS 37
Introductory remarks and overview 37
2 1 The periodic reference orbit 38
2 2 The Fourier expansion of the forcing terms 50
2 3 Computing the Fourier coefficients of the forcing terms 65
2 4 The analytical solution of the variational equations 72
2 5 Resonance 76
2 6 Perturbations of a perfectly circular orbit 80
2 7 The periodical reference orbit seen as perturbed
circular orbit 82
Summary 85
3 THE ADJUSTMENT 87
Introductory remarks and overview 87
3 1 Observations, nominal orbits, and residuals 90
3 2 Least squares adjustment 94
3 3 Conditioning and least squares collocation 98
3 4 The observation equation 103
3 5 Attenuation bands Ill
- ix -
3 6 Linking the orbital period and the length of the data
stream to the rotation of the planet 112
3 7 The normal equations arrow structure and their direct
setting up 118
3 8 Solving the normal equations and finding the formal
variances and covariances of the results 123
3 9 The adjustment when Nmax is sufficiently small 128
3 10 Miscellaneous questions 130
(a) Aliasing 131
(b) Iteration 132
(c) Downward continuation and convergence 132
(d) Numerical integration of the nominal orbits 134
(e) Two different orbital planes 136
3 11 The data as point measurements 137
3 12 Local solutions 140
Summary 143
4 NUMERICAL TESTS OF THE MODEL 145
Preliminary comments and overview 145
4 1 Characteristics of the simulations 147
(a) True and nominal orbits, and orbital errors 147
(b) The field 149
(c) The numerical integrator 150
(d) The periodical reference orbit 151
4 2 Using lumped coefficients to study the accuracy of the
1inearized model 154
4 3 The main effect of neglected first order terms, and the
influence of the eccentricity on perturbations of high
degree 158
4 4 Numerical results of the accuracy tests 160
Summary 169
CONCLUSIONS 170
REFERENCES 172
APPENDIX I: Solving the variationals 176
APPENDIX II: Complementary orbit theory 187
(I) Perturbations normal to the reference orbital plane 187
AII l Fourier development of the forcing terms 187
All 2 The analytical solution 191
(1) pk is a component of the initial state 191
(2) p^ is a potential coefficient 191
(II) Non-periodical reference orbit 193
All 3 Generalization of the theory 193
APPENDIX III: Description and listing of computer programs 198
AI 11 1 Program for closing the reference orbit 198
All1 2 Program for circularizing the reference orbit 205
AI 11 3 Program to simulate the line of sight velocity
residuals with respect to computed or nominal
values 208
AI11 4 Program for computing the lumped coefficients of
the signal, both according to the theory and to the
Fourier analysis of simulated data, and for com-
paring them to test the accuracy of the mathematical
model 216
AIII 5 Numerical orbit integrator and associated subroutines 227
APPENDIX IV: Detailed listings
|
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| discipline | Bauingenieurwesen Vermessungswesen |
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| id | DE-604.BV005902851 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:36:36Z |
| institution | BVB |
| isbn | 9061322308 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003696408 |
| oclc_num | 23223433 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-83 |
| owner_facet | DE-91 DE-BY-TUM DE-83 |
| physical | X, 253 S. graph. Darst. |
| psigel | TUB-nveb |
| publishDate | 1984 |
| publishDateSearch | 1984 |
| publishDateSort | 1984 |
| publisher | Rijkscommissie voor Geodesie |
| record_format | marc |
| series2 | [Publications on geodesy / new series] |
| spelling | Colombo, Oscar L. Verfasser aut The global mapping of gravity with two satellites by Oscar L. Colombo Delft Rijkscommissie voor Geodesie 1984 X, 253 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier [Publications on geodesy / new series] 7,3 Gravimetrie gtt Kunstmatige satellieten gtt Meetmethoden gtt Geodetic satellites Gravity Scientific satellites new series] [Publications on geodesy 7,3 (DE-604)BV001893158 7,3 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003696408&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Colombo, Oscar L. The global mapping of gravity with two satellites Gravimetrie gtt Kunstmatige satellieten gtt Meetmethoden gtt Geodetic satellites Gravity Scientific satellites |
| title | The global mapping of gravity with two satellites |
| title_auth | The global mapping of gravity with two satellites |
| title_exact_search | The global mapping of gravity with two satellites |
| title_full | The global mapping of gravity with two satellites by Oscar L. Colombo |
| title_fullStr | The global mapping of gravity with two satellites by Oscar L. Colombo |
| title_full_unstemmed | The global mapping of gravity with two satellites by Oscar L. Colombo |
| title_short | The global mapping of gravity with two satellites |
| title_sort | the global mapping of gravity with two satellites |
| topic | Gravimetrie gtt Kunstmatige satellieten gtt Meetmethoden gtt Geodetic satellites Gravity Scientific satellites |
| topic_facet | Gravimetrie Kunstmatige satellieten Meetmethoden Geodetic satellites Gravity Scientific satellites |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003696408&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001893158 |
| work_keys_str_mv | AT colombooscarl theglobalmappingofgravitywithtwosatellites |