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Due to steadily improving experimental accuracy, relativistic concepts – based on Einstein’s theory of Special and General Relativity – are playing an increasingly important role in modern geodesy. This book offers an introduction to the emerging field of relativistic geodesy, and covers topics ranging from the description of clocks and test bodies, to time and frequency measurements, to current and future observations. Emphasis is placed on geodetically relevant definitions and fundamental methods in the context of Einstein’s theory (e.g. the role of observers, use of clocks, definition of reference systems and the geoid, use of relativistic approximation schemes). Further, the applications discussed range from chronometric and gradiometric determinations of the gravitational field, to the latest (satellite) experiments. The impact of choices made at a fundamental theoretical level on the interpretation of measurements and the planning of future experiments is also highlighted. Providing an up-to-the-minute status report on the respective topics discussed, the book will not only benefit experts, but will also serve as a guide for students with a background in either geodesy or gravitational physics who are interested in entering and exploring this emerging field.

Physical geography. --- Astrophysics. --- Classical and Quantum Gravitation, Relativity Theory. --- Geophysics/Geodesy. --- Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics). --- Measurement Science and Instrumentation. --- Geodesy. --- Degrees of latitude and longitude --- Geodetics --- Geophysics --- Geomatics --- Mathematical geography --- Surveying --- Astronomical physics --- Astronomy --- Cosmic physics --- Physics --- Geography --- Gravitation. --- Geophysics. --- Space sciences. --- Physical measurements. --- Measurement   . --- Measuring --- Mensuration --- Mathematics --- Technology --- Metrology --- Physical measurements --- Measurements, Physical --- Mathematical physics --- Measurement --- Science and space --- Space research --- Cosmology --- Science --- Geological physics --- Terrestrial physics --- Earth sciences --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Properties

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Due to steadily improving experimental accuracy, relativistic concepts – based on Einstein’s theory of Special and General Relativity – are playing an increasingly important role in modern geodesy. This book offers an introduction to the emerging field of relativistic geodesy, and covers topics ranging from the description of clocks and test bodies, to time and frequency measurements, to current and future observations. Emphasis is placed on geodetically relevant definitions and fundamental methods in the context of Einstein’s theory (e.g. the role of observers, use of clocks, definition of reference systems and the geoid, use of relativistic approximation schemes). Further, the applications discussed range from chronometric and gradiometric determinations of the gravitational field, to the latest (satellite) experiments. The impact of choices made at a fundamental theoretical level on the interpretation of measurements and the planning of future experiments is also highlighted. Providing an up-to-the-minute status report on the respective topics discussed, the book will not only benefit experts, but will also serve as a guide for students with a background in either geodesy or gravitational physics who are interested in entering and exploring this emerging field.

Space research --- Astrophysics --- Measuring methods in physics --- Theory of relativity. Unified field theory --- Geophysics --- Chemical technology --- Physical geography --- zwaartekracht --- meetmethoden --- astrofysica --- relativiteitstheorie --- ruimtevaart --- fysische geografie --- geofysica

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 The present volume aims to be a comprehensive survey on the derivation of the equations of motion, both in General Relativity as well as in alternative gravity theories. The topics covered range from the description of test bodies, to self-gravitating (heavy) bodies, to current and future observations. Emphasis is put on the coverage of various approximation methods (e.g., multipolar, post-Newtonian, self-force methods) which are extensively used in the context of the relativistic problem of motion. Applications discussed in this volume range from the motion of binary systems -- and the gravitational waves emitted by such systems -- to observations of the galactic center. In particular the impact of choices at a fundamental theoretical level on the interpretation of experiments is highlighted. This book provides a broad and up-do-date status report, which will not only be of value for the experts working in this field, but also may serve as a guideline for students with background in General Relativity who like to enter this field.

Physics. --- Classical and Quantum Gravitation, Relativity Theory. --- Mathematical Applications in the Physical Sciences. --- Mathematical Methods in Physics. --- Mathematical physics. --- Physique --- Physique mathématique --- Physics --- Physical Sciences & Mathematics --- Atomic Physics --- Equations of motion. --- Motion equations --- Gravitation. --- Mechanics --- Lagrange equations --- Physical mathematics --- Mathematics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Properties

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Space research --- Astrophysics --- Measuring methods in physics --- Theory of relativity. Unified field theory --- Geophysics --- Chemical technology --- Physical geography --- zwaartekracht --- meetmethoden --- astrofysica --- relativiteitstheorie --- ruimtevaart --- fysische geografie --- geofysica

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Over the next decade the gravitational physics community will benefit from dramatic improvements in many technologies critical to testing gravity. Highly accurate deep space navigation, interplanetary laser communication, interferometry and metrology, high precision frequency standards, precise pointing and attitude control, together with drag-free technologies, will revolutionize the field of experimental gravitational physics. The centennial of the general theory of relativity in 2015 will motivate a significant number of experiments designed to test this theory with unprecedented accuracy. The purpose of the contributions in this book, written by international experts, is to explore the possibilities for the next 20 years for conducting gravitational experiments in space that would utilize both entirely new and highly improved existing capabilities.

Physics. --- Classical and Quantum Gravitation, Relativity Theory. --- Measurement Science and Instrumentation. --- Extraterrestrial Physics, Space Sciences. --- Astrophysics. --- Physique --- Astrophysique --- General relativity (Physics). --- Gravitation. --- Gravity. --- Gravitation --- General relativity (Physics) --- Atomic Physics --- Physics --- Physical Sciences & Mathematics --- Experiments --- Experiments. --- Relativistic theory of gravitation --- Relativity theory, General --- Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics). --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Properties --- Astronomical physics --- Astronomy --- Cosmic physics --- Physical measurements. --- Measurement   . --- Space sciences. --- Science and space --- Space research --- Cosmology --- Science --- Measuring --- Mensuration --- Mathematics --- Technology --- Metrology --- Physical measurements --- Measurements, Physical --- Mathematical physics --- Measurement