The global mapping of gravity with two satellites:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Delft
Rijkscommissie voor Geodesie
1984
|
| Series: | [Publications on geodesy / new series]
7,3 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 253 S. graph. Darst. |
| ISBN: | 9061322308 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV005902851 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | t | ||
| 008 | 921222s1984 d||| |||| 00||| engod | ||
| 020 | |a 9061322308 |9 90-6132-230-8 | ||
| 035 | |a (OCoLC)23223433 | ||
| 035 | |a (DE-599)BVBBV005902851 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91 |a DE-83 | ||
| 050 | 0 | |a QB296.N4 | |
| 050 | 0 | |a QB343 | |
| 084 | |a BAU 936f |2 stub | ||
| 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 | ||
Record in the Search Index
| _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
|
| any_adam_object | 1 |
| author | Colombo, Oscar L. |
| author_facet | Colombo, Oscar L. |
| author_role | aut |
| author_sort | Colombo, Oscar L. |
| author_variant | o l c ol olc |
| building | Verbundindex |
| bvnumber | BV005902851 |
| callnumber-first | Q - Science |
| callnumber-label | QB296 |
| callnumber-raw | QB296.N4 QB343 |
| callnumber-search | QB296.N4 QB343 |
| callnumber-sort | QB 3296 N4 |
| callnumber-subject | QB - Astronomy |
| classification_tum | BAU 936f |
| ctrlnum | (OCoLC)23223433 (DE-599)BVBBV005902851 |
| discipline | Bauingenieurwesen Vermessungswesen |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01452nam a2200409 cb4500</leader><controlfield tag="001">BV005902851</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">921222s1984 d||| |||| 00||| engod</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9061322308</subfield><subfield code="9">90-6132-230-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)23223433</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV005902851</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QB296.N4</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QB343</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">BAU 936f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Colombo, Oscar L.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The global mapping of gravity with two satellites</subfield><subfield code="c">by Oscar L. Colombo</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Delft</subfield><subfield code="b">Rijkscommissie voor Geodesie</subfield><subfield code="c">1984</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 253 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">[Publications on geodesy / new series]</subfield><subfield code="v">7,3</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Gravimetrie</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Kunstmatige satellieten</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Meetmethoden</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geodetic satellites</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Gravity</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Scientific satellites</subfield></datafield><datafield tag="810" ind1="2" ind2=" "><subfield code="a">new series]</subfield><subfield code="t">[Publications on geodesy</subfield><subfield code="v">7,3</subfield><subfield code="w">(DE-604)BV001893158</subfield><subfield code="9">7,3</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HEBIS Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">TUB-nveb</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-003696408</subfield></datafield></record></collection> |
| 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 |