Relativistic geodesy : foundations and applications /: foundations and applications. ([2019])

• Record Type: Book
• Further Information: Note: Dirk Puetzfeld, Claus Lämmerzahl, editors.
• Editors: Puetzfeld, Dirk; Lämmerzahl, C (Claus), 1956-
• Contents: Intro; Preface; Contents; Contributions; Contributors; Time and Frequency Metrology in the Context of Relativistic Geodesy; 1 Introduction; 2 Characterization of Time and Frequency Signals; 3 Atomic Clocks; 3.1 Commercial Clocks; 3.2 Cold-Atom Fountain Clocks; 3.3 Optical Frequency Standards; 4 International Time Scales and Their Local Realizations; 5 Satellite-Based Time and Frequency Transfer; 5.1 GNSS-Based Time and Frequency Transfer; 5.2 Two-Way Satellite Time and Frequency Transfer; 6 Look Ahead and Conclusions; References; Chronometric Geodesy: Methods and Applications 1 Introduction2 The Relativistic Framework; 2.1 Observers and the Spacetime Manifold; 2.2 Simultaneity and Synchronization; 2.3 Relativistic Reference Systems; 2.4 Chronometric Geodesy; 2.5 The Chronometric Geoid; 3 Comparisons of Frequency Standards; 3.1 The Einstein Equivalence Principle; 3.2 Relativistic Frequency Transfer; 3.3 Frequency Transfer Techniques; 3.4 Clock Syntonization; 3.5 The Realization of Terrestrial Time (TT); 3.6 Temporal Variations of the Gravity Field; 4 Geodetic Methods for Determining the Gravity Potential; 4.1 Fundamentals of Physical Geodesy 4.2 The Geometric Levelling Approach4.3 The GNSS/Geoid Approach; 4.4 Uncertainty Considerations; 5 Relativistic Redshift Corrections for the Realization of TT from Geodetic Methods; 5.1 The ITOC Project; 5.2 The GNSS and Levelling Campaigns; 5.3 The European Gravimetric Quasigeoid Model EGG2015; 5.4 Gravity Potential Determination; 5.5 Unified Relativistic Redshift Corrections; 6 Contribution of Chronometric Geodesy to the Determination of the Geoid; 6.1 Methodology; 6.2 Data Set; 6.3 Contribution of Clocks; 7 Conclusions; References Measuring the Gravitational Field in General Relativity: From Deviation Equations and the Gravitational Compass to Relativistic Clock Gradiometry1 Introduction; 1.1 Method 1: Measuring the Gravitational Field by Means of Test Bodies; 1.2 Method 2: Measuring the Gravitational Field by Means of Clocks; 2 Theoretical Foundations; 2.1 Method 1: Comparison of Two General Curves; 2.2 Method 2: Reference Frame (Inertial and Gravitational Effects); 2.3 Method 2: Apparent Behavior of Clocks; 3 Operational Determination of the Gravitational Field 3.1 Method 1: Relativistic Gradiometry/Gravitational Compass3.2 Method 2: Relativistic Clock Gradiometry/Gravitational Clock Compass; 4 Summary; 4.1 Method 1: Summary; 4.2 Method 2: Summary; 5 Outlook: Operational Determination of the Gravitational Field in Theories Beyond GR; 5.1 World Function and Deviation Equation; 5.2 World Function in Riemann-Cartan Spacetime; 5.3 Operational Interpretation; 5.4 Summary; References; A Snapshot of J. L. Synge; 1 Introduction; 2 A Scheme of Approximation; 3 Lorentz Transformations; 4 Synge on an Observation of E. T. Whittaker; 5 Epilogue; References
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2019
• Extent: 1 online resource
• Subjects: 526/.1; Geodesy; SCIENCE / Earth Sciences / Geography; TECHNOLOGY & ENGINEERING / Cartography; Electronic books; Electronic books
• Languages: English
• ISBNs: 9783030115005; 3030115003
• Related ISBNs: 9783030114992; 3030114996
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed February 13, 2019).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.