Time, atomic clocks, and relativistic geodesy:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
München
Verl. der Bayerischen Akad. der Wiss. [u.a.]
2013
|
| Series: | Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften
Reihe A, Theoretische Geodäsie ; 124 |
| Subjects: | |
| Online Access: | Volltext Volltext // Exemplar der Bayerischen Akademie der Wissenschaften Inhaltsverzeichnis |
| Physical Description: | 126 S. graph. Darst. |
| ISBN: | 9783769682045 |
Staff View
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS
INTRODUCTION 5
TIME 6
1 THE SEARCH FOR THE NATURE OF TIME 6
2 THE MEASUREMENT OF TIME 7
3 THE DIFFERENT NOTIONS OF TIME 8
4 THE PROBLEM OF A UNIFIED CONCEPT OF TIME 8
5 THE ROLE OF FUNDAMENTAL QUANTITIES AND PHYSICAL DIMENSIONS 9
6 THE REALIZATION OF TIME SCALES 10
7 THE CHOICE OF AN UNDERLYING THEORY AND ITS IMPACT ON DEFINITIONS 11
8 THE BACKING OF A THEORY BY EXPERIMENTS 11
9 THE DIFFERENT KINDS OF GEOMETRY 12
10 THE FUNDAMENTAL ROLE OF THE LINE ELEMENT 12
RELATIVISTIC EFFECTS 14
11 TESTING THE CONCEPT OF RELATIVITY 14
12 FOCUSSING ON EINSTEIN S THEORY OF RELATIVITY 14
13 TESTING RELATIVITY VIA EARTHBOUND AND SPACE-BOUND EXPERIMENTS 15
14 ALTERNATIVE MODELING OF GRAVITATION 16
15 PROGRESSION OF THE INTERFEROMETRIC METHOD FOR RELATIVITY TESTING 16
16 CLOCKS AS RELATIVISTIC SENSORS 17
17 APPARENT LIMITS ON THE RESOLUTION 17
TRANSITION TO RELATIVISTIC GEODESY 19
18 SELECTED TECHNOLOGICAL ISSUES 19
19 CLOCK NETWORKS REQUIRING TIME AND FREQUENCY TRANSFER 21
20 TIME AND FREQUENCY TRANSFER VIA CLOCK TRANSPORTATION 21
21 TIME AND FREQUENCY TRANSFER VIA SIGNAL TRANSMISSION 21
22 TIME AND FREQUENCY TRANSFER METHODS 22
GEODETIC USE OF ATOMIC CLOCKS 23
23 DECORRELATION OF PHYSICAL EFFECTS BY MEANS OF CLOCK READINGS 23
24 PROM THEORETICAL RELATIVISTIC FRAMEWORK TO REAL WORLD SCENARIOS 23
25 THE RESURRECTION OF THE CHRONOMETRIC LEVELING IDEA 24
26 THE IMPROVEMENT OF GRAVITY FIELD DETERMINATION TECHNIQUES 26
27 FURTHER POTENTIAL APPLICATIONS OF HIGHLY PRECISE ATOMIC CLOCKS 26
28 THE RELATIVISTIC APPROACH IN SATELLITE ORBIT CALCULATION 27
OUTLINE OF THE MATHEMATICAL FRAMEWORK 28
29 INTRODUCTION OF FUNDAMENTAL RELATIONS 29
29.1 EQUATION OF A GEODESIC 29
29.2 RIEMANNIAN CURVATURE TENSOR 31
29.3 EOTVOS TENSOR AND MARUSSI TENSOR 32
29.4 RICCI CURVATURE TENSOR AND FUNDAMENTAL METRIC TENSORS 34
29.5 LINE ELEMENT AND SPECIAL RELATIVITY 34
29.6 PROPER TIME AND GENERALIZED DOPPLER EFFECT 35
29.7 GRAVITY AND SPACE-TIME METRIC 36
29.8 EINSTEIN FIELD EQUATIONS 38
29.9 SPECIAL CASE: SCHWARZSCHILD METRIC AND RESULTING TESTABLE
RELATIVISTIC EFFECTS 39
HTTP://D-NB.INFO/1035668939
29.10 INERTIAL SYSTEMS AND GENERAL RELATIVITY 41
29.11 GEODESIC DEVIATION EQUATION 42
29.12 SEPARABILITY OF DIFFERENT KINDS OF FORCES 44
29.13 VARIOUS RELATIVISTIC EFFECTS 45
29.14 PROPER TIME AND GRAVITATIONAL TIME DELAY 46
29.15 SUPERPOSITION AND MAGNITUDE OF INDIVIDUAL RELATIVISTIC EFFECTS 47
30 ESSENTIAL EXPRESSIONS FOR RELATIVISTIC GEODESY 49
30.1 SPECIFIC RELATIONS BETWEEN COORDINATE TIME AND PROPER TIME 49
30.2 PROBLEM-DEPENDENT FIXING OF THE TENSORS 51
30.3 BK-APPROACH VS DSX-APPROACH 52
30.4 CELESTIAL REFERENCE SYSTEM CONNECTED TO THE (SOLAR-SYSTEM)
BARYCENTER 52
30.5 CELESTIAL REFERENCE SYSTEM CONNECTED TO THE GEOCENTER 55
30.6 CLASSICAL SPHERICAL HARMONICS AND RELATIVISTIC MULTIPOLE MOMENTS 56
30.7 EARTH S METRIC POTENTIALS IN RELATIVISTIC MASS AND SPIN MULTIPOLE
MOMENTS 60
30.8 TRANSFORMATION BETWEEN GLOBAL AND LOCAL REFERENCE SYSTEMS 60
30.9 EXTERNAL AND TIDAL POTENTIALS IN POST-NEWTONIAN APPROXIMATION 61
30.10 TRANSFORMATION BETWEEN BCRS AND GCRS 63
30.11 REMARKS ON VARIOUS SPIN-RELATED TERMS 64
30.12 REMARKS ON VARIOUS KINDS OF MASS-MULTIPOLE MOMENTS 65
30.13 GRAVITATIONAL POTENTIAL KNOWLEDGE AND TIME TRANSFORMATION 65
30.14 TOPOCENTRIC REFERENCE SYSTEM CONNECTED TO (EARTHBOUND) OBSERVATION
SITES 66
30.15 SPECIFIC RELATIONS BETWEEN GEOCENTRIC TIME AND PROPER TIME 68
30.16 POST-NEWTONIAN GRAVIMETRY AND GRADIOMETRY 69
30.17 DEFINITION OF A RELATIVISTIC GEOID 70
CLOCK BASED HEIGHT DETERMINATION 71
31 PRACTICAL TIME SCALES AND THEIR RELATIONS 71
32 POTENTIAL DIFFERENCES AND CLASSICAL HEIGHT SYSTEMS 73
33 THE GLOBAL VERTICAL DATUM PROBLEM 77
34 INTRODUCTORY REMARKS ON THE DISPLACEMENT OF OBSERVATION SITES 79
35 INTRODUCTORY REMARKS ON TIDES AND THE TIDAL POTENTIAL 80
36 THE MODELING OF TIDES 81
37 TIDAL DISPLACEMENT AND THE ROLE OF LOVE AND SHIDA NUMBERS 82
38 DETAILS ON THE TIDAL POTENTIAL AND RESULTING DISPLACEMENTS 84
39 SENSITIVITY OF CLOCKS TO TIDALLY INDUCED POTENTIAL DIFFERENCES 87
40 SENSITIVITY OF CLOCKS TO THE TIDALLY INDUCED DOPPLER EFFECT 90
41 CONCLUDING REMARKS ON THE COMPARISON OF CLOCKS 91
OUTLOOK 98
REFERENCES 99
|
| adam_txt |
TABLE OF CONTENTS
INTRODUCTION 5
TIME 6
1 THE SEARCH FOR THE NATURE OF TIME 6
2 THE MEASUREMENT OF TIME 7
3 THE DIFFERENT NOTIONS OF TIME 8
4 THE PROBLEM OF A UNIFIED CONCEPT OF TIME 8
5 THE ROLE OF FUNDAMENTAL QUANTITIES AND PHYSICAL DIMENSIONS 9
6 THE REALIZATION OF TIME SCALES 10
7 THE CHOICE OF AN UNDERLYING THEORY AND ITS IMPACT ON DEFINITIONS 11
8 THE BACKING OF A THEORY BY EXPERIMENTS 11
9 THE DIFFERENT KINDS OF GEOMETRY 12
10 THE FUNDAMENTAL ROLE OF THE LINE ELEMENT 12
RELATIVISTIC EFFECTS 14
11 TESTING THE CONCEPT OF RELATIVITY 14
12 FOCUSSING ON EINSTEIN'S THEORY OF RELATIVITY 14
13 TESTING RELATIVITY VIA EARTHBOUND AND SPACE-BOUND EXPERIMENTS 15
14 ALTERNATIVE MODELING OF GRAVITATION 16
15 PROGRESSION OF THE INTERFEROMETRIC METHOD FOR RELATIVITY TESTING 16
16 CLOCKS AS RELATIVISTIC SENSORS 17
17 APPARENT LIMITS ON THE RESOLUTION 17
TRANSITION TO RELATIVISTIC GEODESY 19
18 SELECTED TECHNOLOGICAL ISSUES 19
19 CLOCK NETWORKS REQUIRING TIME AND FREQUENCY TRANSFER 21
20 TIME AND FREQUENCY TRANSFER VIA CLOCK TRANSPORTATION 21
21 TIME AND FREQUENCY TRANSFER VIA SIGNAL TRANSMISSION 21
22 TIME AND FREQUENCY TRANSFER METHODS 22
GEODETIC USE OF ATOMIC CLOCKS 23
23 DECORRELATION OF PHYSICAL EFFECTS BY MEANS OF CLOCK READINGS 23
24 PROM THEORETICAL RELATIVISTIC FRAMEWORK TO REAL WORLD SCENARIOS 23
25 THE RESURRECTION OF THE CHRONOMETRIC LEVELING IDEA 24
26 THE IMPROVEMENT OF GRAVITY FIELD DETERMINATION TECHNIQUES 26
27 FURTHER POTENTIAL APPLICATIONS OF HIGHLY PRECISE ATOMIC CLOCKS 26
28 THE RELATIVISTIC APPROACH IN SATELLITE ORBIT CALCULATION 27
OUTLINE OF THE MATHEMATICAL FRAMEWORK 28
29 INTRODUCTION OF FUNDAMENTAL RELATIONS 29
29.1 EQUATION OF A GEODESIC 29
29.2 RIEMANNIAN CURVATURE TENSOR 31
29.3 EOTVOS TENSOR AND MARUSSI TENSOR 32
29.4 RICCI CURVATURE TENSOR AND FUNDAMENTAL METRIC TENSORS 34
29.5 LINE ELEMENT AND SPECIAL RELATIVITY 34
29.6 PROPER TIME AND GENERALIZED DOPPLER EFFECT 35
29.7 GRAVITY AND SPACE-TIME METRIC 36
29.8 EINSTEIN FIELD EQUATIONS 38
29.9 SPECIAL CASE: SCHWARZSCHILD METRIC AND RESULTING TESTABLE
RELATIVISTIC EFFECTS 39
HTTP://D-NB.INFO/1035668939
29.10 INERTIAL SYSTEMS AND GENERAL RELATIVITY 41
29.11 GEODESIC DEVIATION EQUATION 42
29.12 SEPARABILITY OF DIFFERENT KINDS OF FORCES 44
29.13 VARIOUS RELATIVISTIC EFFECTS 45
29.14 PROPER TIME AND GRAVITATIONAL TIME DELAY 46
29.15 SUPERPOSITION AND MAGNITUDE OF INDIVIDUAL RELATIVISTIC EFFECTS 47
30 ESSENTIAL EXPRESSIONS FOR RELATIVISTIC GEODESY 49
30.1 SPECIFIC RELATIONS BETWEEN COORDINATE TIME AND PROPER TIME 49
30.2 PROBLEM-DEPENDENT FIXING OF THE TENSORS 51
30.3 BK-APPROACH VS DSX-APPROACH 52
30.4 CELESTIAL REFERENCE SYSTEM CONNECTED TO THE (SOLAR-SYSTEM)
BARYCENTER 52
30.5 CELESTIAL REFERENCE SYSTEM CONNECTED TO THE GEOCENTER 55
30.6 CLASSICAL SPHERICAL HARMONICS AND RELATIVISTIC MULTIPOLE MOMENTS 56
30.7 EARTH'S METRIC POTENTIALS IN RELATIVISTIC MASS AND SPIN MULTIPOLE
MOMENTS 60
30.8 TRANSFORMATION BETWEEN GLOBAL AND LOCAL REFERENCE SYSTEMS 60
30.9 EXTERNAL AND TIDAL POTENTIALS IN POST-NEWTONIAN APPROXIMATION 61
30.10 TRANSFORMATION BETWEEN BCRS AND GCRS 63
30.11 REMARKS ON VARIOUS SPIN-RELATED TERMS 64
30.12 REMARKS ON VARIOUS KINDS OF MASS-MULTIPOLE MOMENTS 65
30.13 GRAVITATIONAL POTENTIAL KNOWLEDGE AND TIME TRANSFORMATION 65
30.14 TOPOCENTRIC REFERENCE SYSTEM CONNECTED TO (EARTHBOUND) OBSERVATION
SITES 66
30.15 SPECIFIC RELATIONS BETWEEN GEOCENTRIC TIME AND PROPER TIME 68
30.16 POST-NEWTONIAN GRAVIMETRY AND GRADIOMETRY 69
30.17 DEFINITION OF A RELATIVISTIC GEOID 70
CLOCK BASED HEIGHT DETERMINATION 71
31 PRACTICAL TIME SCALES AND THEIR RELATIONS 71
32 POTENTIAL DIFFERENCES AND CLASSICAL HEIGHT SYSTEMS 73
33 THE GLOBAL VERTICAL DATUM PROBLEM 77
34 INTRODUCTORY REMARKS ON THE DISPLACEMENT OF OBSERVATION SITES 79
35 INTRODUCTORY REMARKS ON TIDES AND THE TIDAL POTENTIAL 80
36 THE MODELING OF TIDES 81
37 TIDAL DISPLACEMENT AND THE ROLE OF LOVE AND SHIDA NUMBERS 82
38 DETAILS ON THE TIDAL POTENTIAL AND RESULTING DISPLACEMENTS 84
39 SENSITIVITY OF CLOCKS TO TIDALLY INDUCED POTENTIAL DIFFERENCES 87
40 SENSITIVITY OF CLOCKS TO THE TIDALLY INDUCED DOPPLER EFFECT 90
41 CONCLUDING REMARKS ON THE COMPARISON OF CLOCKS 91
OUTLOOK 98
REFERENCES 99 |
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| indexdate | 2024-07-09T21:17:26Z |
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| series | Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften |
| series2 | Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften : Reihe A, Theoretische Geodäsie |
| spelling | Mai, Enrico 1972- Verfasser (DE-588)129828661 aut Time, atomic clocks, and relativistic geodesy Enrico Mai München Verl. der Bayerischen Akad. der Wiss. [u.a.] 2013 126 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften : Reihe A, Theoretische Geodäsie 124 Geodäsie (DE-588)4020202-1 gnd rswk-swf Atomuhr (DE-588)4259141-7 gnd rswk-swf Zeitmessung (DE-588)4131097-4 gnd rswk-swf Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd rswk-swf Geodäsie (DE-588)4020202-1 s Allgemeine Relativitätstheorie (DE-588)4112491-1 s Atomuhr (DE-588)4259141-7 s Zeitmessung (DE-588)4131097-4 s DE-604 Elektronische Reproduktion München : Deutsche Geodätische Kommission, 2013 (DE-604)BV037223238 Elektronische Reproduktion München : Bayerische Akademie der Wissenschaften, 2016-2019 Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften Reihe A, Theoretische Geodäsie ; 124 (DE-604)BV002562313 124 https://www.dgk.badw.de/fileadmin/user_upload/Files/DGK/docs/a-124.pdf Digitalisierung kostenfrei Volltext https://publikationen.badw.de/de/023386397 Digitalisierung kostenfrei Volltext // Exemplar der Bayerischen Akademie der Wissenschaften DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016569415&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mai, Enrico 1972- Time, atomic clocks, and relativistic geodesy Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften Geodäsie (DE-588)4020202-1 gnd Atomuhr (DE-588)4259141-7 gnd Zeitmessung (DE-588)4131097-4 gnd Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd |
| subject_GND | (DE-588)4020202-1 (DE-588)4259141-7 (DE-588)4131097-4 (DE-588)4112491-1 |
| title | Time, atomic clocks, and relativistic geodesy |
| title_auth | Time, atomic clocks, and relativistic geodesy |
| title_exact_search | Time, atomic clocks, and relativistic geodesy |
| title_exact_search_txtP | Time, atomic clocks, and relativistic geodesy |
| title_full | Time, atomic clocks, and relativistic geodesy Enrico Mai |
| title_fullStr | Time, atomic clocks, and relativistic geodesy Enrico Mai |
| title_full_unstemmed | Time, atomic clocks, and relativistic geodesy Enrico Mai |
| title_short | Time, atomic clocks, and relativistic geodesy |
| title_sort | time atomic clocks and relativistic geodesy |
| topic | Geodäsie (DE-588)4020202-1 gnd Atomuhr (DE-588)4259141-7 gnd Zeitmessung (DE-588)4131097-4 gnd Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd |
| topic_facet | Geodäsie Atomuhr Zeitmessung Allgemeine Relativitätstheorie |
| url | https://www.dgk.badw.de/fileadmin/user_upload/Files/DGK/docs/a-124.pdf https://publikationen.badw.de/de/023386397 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016569415&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002562313 |
| work_keys_str_mv | AT maienrico timeatomicclocksandrelativisticgeodesy |