Theory of orbit determination:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2010
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 382 S. graph. Darst. |
| ISBN: | 9780521873895 |
Internformat
MARC
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| 100 | 1 | |a Milani, Andrea |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Theory of orbit determination |c Andrea Milani and Giovanni F. Gronchi |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2010 | |
| 300 | |a X, 382 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 653 | |a Orbital mechanics / Mathematical models | ||
| 653 | |a Orbits / Mathematical models | ||
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-020804662 | ||
Datensatz im Suchindex
| _version_ | 1804143601512349696 |
|---|---|
| adam_text | IMAGE 1
THEORY OF
ORBIT DETERMINATION
ANDREA MILAN! AND- GIOVANNI F. GRONCHI DEPARTMENT OF MATHEMATICS,
UNIVERSITY OF PISA
11 CAMBRIDGE
|F UNIVERSITY PRESS
IMAGE 2
CONTENTS
PREFACE PAGE IX
* - PART I PROBLEM STATEMENT AND REQUIREMENTS 1
1 THE PROBLEM OF ORBIT DETERMINATION 3
, 1.1 ORBITS AND OBSERVATIONS . . 3
1.2 THE MINIMUM PRINCIPLE 5
- *- 1.3 TWO INTERPRETATIONS * ,6
1.4 , CLASSIFICATION OF THE PROBLEM 7
1.5 HOW TO READ THIS BOOK - 13
2 , DYNAMICAL SYSTEMS 15
2.1 THE EQUATION OF MOTION 15
2.2 SOLUTIONS OF THE EQUATION . 16
V, 2.3 THE VARIATIONAL EQUATION - 18
- - -2.4 LYAPOUNOV EXPONENTS 20
2.5 MODEL PROBLEM DYNAMICS .21
3 .; ERROR MODELS 23
3.1 . CONTINUOUS RANDOM VARIABLES 23
*3.2 GAUSSIAN RANDOM VARIABLES * 27
3.3 EXPECTED VALUES AND TRANSFORMATIONS 30
4- THE JV-BODY PROBLEM 33
. R 4.1 EQUATION OF MOTION AND INTEGRALS 33
4.2 COORDINATE CHANGES 36
~T 4.3 BARYCENTRIC AND HELIOCENTRIC COORDINATES 40
*7 4.4 JACOBIAN COORDINATES . 43
I 4.5 SMALL PARAMETER PERTURBATION 47
4.6, SOLAR SYSTEM DYNAMICAL MODELS * 54
IMAGE 3
PART II BASIC THEORY 57
LEAST SQUARES 59
5.1 LINEAR LEAST SQUARES 59
5.2 NONLINEAR LEAST SQUARES . 62
5.3. WEIGHTING OF THE RESIDUALS * ^ 66
5.4 CONFIDENCE ELLIPSOIDS^ ; , 68
5.5 PROPAGATION OF COVARIANCE 72
5.6 MODEL PROBLEM . 74
5.7 PROBABILISTIC INTERPRETATION * 77
5.8 GAUSSIAN ERROR MODELS AND OUTLIER REJECTION 80
RANK DEFICIENCY 87
6.1 COMPLETE RANK DEFICIENCY . 87
6.2 EXACT SYMMETRIES . * 91
6.3 APPROXIMATE RANK DEFICIENCY AND SYMMETRIES 93
6.4 SCALING AND APPROXIMATE RANK DEFICIENCY 96
6.5 PLANETARY SYSTEMS: EXTRASOLAR PLANETS . 9 8.
6.6 PLANETARY SYSTEMS: THE SOLAR SYSTEM - 104
PART III POPULATION ORBIT DETERMINATION 111
THE IDENTIFICATION PROBLEM 113
7.1 CLASSIFICATION OF THE PROBLEM . 113
7.2 LINEAR ORBIT IDENTIFICATION 116
7.3 SEMILINEAR ORBIT IDENTIFICATION 120
7.4 NONLINEAR ORBIT IDENTIFICATION 124
7.5 RECOVERY AND PRECOVERY . 130
7.6 ATTRIBUTION , . , * . 133
LINKAGE * * * . .. 137.
8.1 ADMISSIBLE REGION 137
8.2 SAMPLING OF THE ADMISSIBLE REGION ; 144
8.3 ATTRIBUTABLE ORBITAL ELEMENTS 148
8.4 PREDICTIONS FROM AN ATTRIBUTABLE 152
8.5 LINKAGE BY SAMPLING THE ADMISSIBLE REGION . 156
8.6 LINKAGE BY THE TWO-BODY INTEGRALS . 158
8.7 THE SPACE DEBRIS PROBLEM 163
METHODS BY LAPLACE A ND GAUSS 171
9.1 ATTRIBUTABLES AND CURVATURE . 171
9.2 THE METHOD OF LAPLACE .- 174
9 .3 THE METHOD OF GAUSS .175
IMAGE 4
CONTENTS . VII
9.4 TOPOCENTRIC GAUSS-LAPLACE METHODS -. * 177
: 9.5 NUMBER OF SOLUTIONS.- . . 183
9.6 CHARLIER THEORY 185
9.7 GENERALIZATION OF THE CHARLIER THEORY 188
IO WEAKLY DETERMINED ORBITS 197
. * 10.1 THE LINE OF VARIATIONS * , 197
* 10.2 APPLICATIONS OF THE CONSTRAINED SOLUTIONS 202
, - 10.3 SELECTION OF A METRIC . * 208
10:4 SURFACE OF VARIATIONS 214
(}* , 10.5 THE DEFINITION OF DISCOVERY 215
IR- SURVEYS . 219
11.1 OPERATIONAL CONSTRAINTS OF SOLAR SYSTEM SURVEYS 219 11.2
IDENTIFICATION AND ORBIT DETERMINATION PROCEDURE 221 11.3 CONTROLLING
THE COMPUTATIONAL COMPLEXITY 223
- 11.4 IDENTIFICATION MANAGEMENT 226.
V 11.5 TESTS FOR ACCURACY . - 232
- 11.6 RECOVERY OF LOW CONFIDENCE DETECTIONS 235
12 IMPACT MONITORING 237
12.1 TARGET PLANES . . . * 239
12.2 MINIMUM ORBITAL INTERSECTION DISTANCE 242
12.3 VIRTUAL ASTEROIDS 248
12.4 TARGET PLANE TRAILS * . - * * * 251
12.5 RELIABILITY AND COMPLETION OF IMPACT MONITORING 256 12.6 THE
CURRENT MONITORING SYSTEMS - 258
PART IV COLLABORATIVE ORBIT DETERMINATION 259
13 THE GRAVITY OF A PLANET . , 261
13.1 THE GRAVITY FIELD . . 261
13.2 SPHERICAL HARMONICS 266
13.3 THE HILBERT SPACE OF THE HARMONIC FUNCTIONS 276
13.4 THE GRAVITY FIELD ALONG THE ORBIT . 2 80
13.5 FREQUENCY ANALYSIS, GROUND TRACK, AND RESONANCE 284
14 NON-GRAVITATIONAL PERTURBATIONS 287 14.1 DIRECT RADIATION PRESSURE ,
288
14.2 THERMAL EMISSION 294
14.3 INDIRECT RADIATION PRESSURE 299
*14.4 DRAG . * 302
14.5 ACTIVE SPACECRAFT EFFECTS - * . 303
IMAGE 5
VIII CONTENTS
: 14.6 CASE STUDY: ASTEROID ORBITER - . 306
15 MULTI-ARC STRATEGY 311
15.1 LOCAL-GLOBAL DECOMPOSITION _ . 311
15.2 CASE STUDY: SATELLITE LASER RANGING . 314
15.3 PERTURBATION MODEL 315
15.4 LOCAL GEODESY .- 317
15.5 SYMMETRIES AND RANK DEFICIENCIES * ,319
16 SATELLITE GRAVIMETRY 323
16.1 ON-BOARD INSTRUMENTATION 324
16.2 ACCELEROMETER MISSIONS - . . * 331
16.3 GRADIOMETER MISSIONS. 333
16.4 RESONANT DECOMPOSITION . . 338
16.5 POLAR GAPS . 339
16.6 SATELLITE-TO-SATELLITE TRACKING 345
17 ORBITERS AROUND OTHER PLANETS 349
17.1 SCIENCE GOALS FOR AN ORBITER AROUND MERCURY 349
17.2 INTERPLANETARY TRACKING 351
17.3 THE GRAVIMETRY EXPERIMENT 356
17.4 THE ROTATION EXPERIMENT 360
17.5 THE RELATIVITY EXPERIMENT 364
17.6 GLOBAL DATA PROCESSING ^ 367
REFERENCES _ , 371
INDEX . . . 379
|
| any_adam_object | 1 |
| author | Milani, Andrea Gronchi, Giovanni F. |
| author_facet | Milani, Andrea Gronchi, Giovanni F. |
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| bvnumber | BV036889440 |
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| ctrlnum | (OCoLC)699186715 (DE-599)BSZ316288454 |
| discipline | Physik Geographie |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV036889440 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:50:15Z |
| institution | BVB |
| isbn | 9780521873895 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020804662 |
| oclc_num | 699186715 |
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| owner | DE-19 DE-BY-UBM DE-83 DE-11 DE-706 |
| owner_facet | DE-19 DE-BY-UBM DE-83 DE-11 DE-706 |
| physical | X, 382 S. graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
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| publisher | Cambridge Univ. Press |
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| spelling | Milani, Andrea Verfasser aut Theory of orbit determination Andrea Milani and Giovanni F. Gronchi 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2010 X, 382 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematisches Modell Himmelsmechanik (DE-588)4127484-2 gnd rswk-swf Umlaufbahn (DE-588)4238276-2 gnd rswk-swf Orbital mechanics / Mathematical models Orbits / Mathematical models Himmelsmechanik (DE-588)4127484-2 s Umlaufbahn (DE-588)4238276-2 s DE-604 Gronchi, Giovanni F. Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020804662&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Milani, Andrea Gronchi, Giovanni F. Theory of orbit determination Mathematisches Modell Himmelsmechanik (DE-588)4127484-2 gnd Umlaufbahn (DE-588)4238276-2 gnd |
| subject_GND | (DE-588)4127484-2 (DE-588)4238276-2 |
| title | Theory of orbit determination |
| title_auth | Theory of orbit determination |
| title_exact_search | Theory of orbit determination |
| title_full | Theory of orbit determination Andrea Milani and Giovanni F. Gronchi |
| title_fullStr | Theory of orbit determination Andrea Milani and Giovanni F. Gronchi |
| title_full_unstemmed | Theory of orbit determination Andrea Milani and Giovanni F. Gronchi |
| title_short | Theory of orbit determination |
| title_sort | theory of orbit determination |
| topic | Mathematisches Modell Himmelsmechanik (DE-588)4127484-2 gnd Umlaufbahn (DE-588)4238276-2 gnd |
| topic_facet | Mathematisches Modell Himmelsmechanik Umlaufbahn |
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