Relativistic Celestial Mechanics Of The Solar System

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Relativistic Celestial Mechanics Of The Solar System

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Author : Sergei Kopeikin
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-26

Relativistic Celestial Mechanics Of The Solar System written by Sergei Kopeikin and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-26 with Science categories.

This authoritative book presents the theoretical development of gravitational physics as it applies to the dynamics of celestial bodies and the analysis of precise astronomical observations. In so doing, it fills the need for a textbook that teaches modern dynamical astronomy with a strong emphasis on the relativistic aspects of the subject produced by the curved geometry of four-dimensional spacetime. The first three chapters review the fundamental principles of celestial mechanics and of special and general relativity. This background material forms the basis for understanding relativistic reference frames, the celestial mechanics of N-body systems, and high-precision astrometry, navigation, and geodesy, which are then treated in the following five chapters. The final chapter provides an overview of the new field of applied relativity, based on recent recommendations from the International Astronomical Union. The book is suitable for teaching advanced undergraduate honors programs and graduate courses, while equally serving as a reference for professional research scientists working in relativity and dynamical astronomy. The authors bring their extensive theoretical and practical experience to the subject. Sergei Kopeikin is a professor at the University of Missouri, while Michael Efroimsky and George Kaplan work at the United States Naval Observatory, one of the world?s premier institutions for expertise in astrometry, celestial mechanics, and timekeeping.

Essential Relativistic Celestial Mechanics

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Author : Victor Brumberg
language : en
Publisher: CRC Press
Release Date : 2017-11-22

Essential Relativistic Celestial Mechanics written by Victor Brumberg and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Science categories.

Essential Relativistic Celestial Mechanics presents a systematic exposition of the essential questions of relativistic celestial mechanics and their relation to relativistic astrometry. The book focuses on the comparison of calculated and measurable quantities that is of paramount importance in using general relativity as a necessary framework in the discussion of high-precision observations and for the construction of accurate dynamical ephemerides. It discusses the results of the general relativistic theory of motion of celestial bodies and describes the relativistic theory of astronomical reference frames, time scales, and the reduction of observations.

Applications And Experiments

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Author : Sergei M. Kopeikin
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-08-20

Applications And Experiments written by Sergei M. Kopeikin and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-20 with Science categories.

Relativistic celestial mechanics – investigating the motion celestial bodies under the influence of general relativity – is a major tool of modern experimental gravitational physics. With a wide range of prominent authors from the field, this two-volume series consists of reviews on a multitude of advanced topics in the area of relativistic celestial mechanics – starting from more classical topics such as the regime of asymptotically-flat spacetime, light propagation and celestial ephemerides, but also including its role in cosmology and alternative theories of gravity as well as modern experiments in this area. This second volume of a two-volume series covers applications of the theory as well as experimental verifications. From tools to determine light travel times in curved space-time to laser ranging between earth and moon and between satellites, and impacts on the definition of time scales and clock comparison techniques, a variety of effects is discussed. On the occasion of his 80-th birthday, these two volumes honor V. A. Brumberg – one of the pioneers in modern relativistic celestial mechanics. Contributions include: J. Simon, A. Fienga: Victor Brumberg and the French school of analytical celestial mechanics T. Fukushima: Elliptic functions and elliptic integrals for celestial mechanics and dynamical astronomy P. Teyssandier: New tools for determining the light travel time in static, spherically symmetric spacetimes beyond the order G2 J. Müller, L. Biskupek, F. Hofmann and E. Mai: Lunar laser ranging and relativity N. Wex: Testing relativistic celestial mechanics with radio pulsars I. Ciufolini et al.: Dragging of inertial frames, fundamental physics, and satellite laser ranging G. Petit, P. Wolf, P. Delva: Atomic time, clocks, and clock comparisons in relativistic spacetime: a review

Relativistic Geodesy

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Author : Dirk Puetzfeld
language : en
Publisher: Springer
Release Date : 2019-02-09

Relativistic Geodesy written by Dirk Puetzfeld and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-09 with Science categories.

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.

Theory

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Author : Sergei M. Kopeikin
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-10-10

Theory written by Sergei M. Kopeikin and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-10 with Science categories.

Relativistic celestial mechanics – investigating the motion celestial bodies under the influence of general relativity – is a major tool of modern experimental gravitational physics. With a wide range of prominent authors from the field, this two-volume series consists of reviews on a multitude of advanced topics in the area of relativistic celestial mechanics – starting from more classical topics such as the regime of asymptotically-flat spacetime, light propagation and celestial ephemerides, but also including its role in cosmology and alternative theories of gravity as well as modern experiments in this area. This first volume of a two-volume series is concerned with theoretical foundations such as post-Newtonian solutions to the two-body problem, light propagation through time-dependent gravitational fields, as well as cosmological effects on the movement of bodies in the solar systems. On the occasion of his 80-th birthday, these two volumes honor V. A. Brumberg – one of the pioneers in modern relativistic celestial mechanics. Contributions include: M. Soffel: On the DSX-framework T. Damour: The general relativistic two body problem G. Schaefer: Hamiltonian dynamics of spinning compact binaries through high post-Newtonian approximations A. Petrov and S. Kopeikin: Post-Newtonian approximations in cosmology T. Futamase: On the backreaction problem in cosmology Y. Xie and S. Kopeikin: Covariant theory of the post-Newtonian equations of motion of extended bodies S. Kopeikin and P. Korobkov: General relativistic theory of light propagation in multipolar gravitational fields

Proceedings Of The Xxiii Spanish Relativity Meeting On Reference Frames And Gravitomagnetism

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Author : J. F. Pascual S nchez
language : en
Publisher: World Scientific
Release Date : 2001-07-02

Proceedings Of The Xxiii Spanish Relativity Meeting On Reference Frames And Gravitomagnetism written by J. F. Pascual S nchez and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-02 with Mathematics categories.

This book provides an authoritative overview of the developments in gravitomagnetism which have taken place in the last few years. In particular, experiments for measuring the Lense-Thirring effect with satellites orbiting the Earth are reviewed, and an updated list of references on gravitomagnetism is included. The book also presents diverse research in general relativity and cosmology. It will be of interest to graduate students and researchers in cosmology, astrophysics, astronomy, relativity and applied mathematics. Contents: Spacetime Splitting Techniques and Gravitoelectromagnetism in General Relativity (D Bini & R T Jantzen); Black Hole Astrophysics: Gravitomagnetism and Non Keplerian Orbits (F de Felice); Gravitoelectromagnetism (B Mashhoon); Properties of Bel Currents (R Lazkoz et al.); On Cyclically Symmetrical Spacetimes (A Barnes); Scalar Field Cosmologies (J Carot & M M Collinge); Ideas Gas Stephani Universes (B Coll & J J Ferrando); Comments on Purely Electric Weyl Tensors (J J Ferrando & J A Siez); Advance of Mercury Perihelion Explained by Cogravity (C J de Matos & M Tajmar); The Intrinsic Structure of the Petrov Classification (J M Pozo & J M Parra); and other papers. Readership: Graduate students and researchers in physics, astronomy and applied mathematics."

Applied Mechanics Reviews

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Author :
language : en
Publisher:
Release Date : 1976

Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mechanics, Applied categories.

Relativistic Gravitational Experiments In Space Proceedings Of The First William Fairbank Meeting

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Author : M Demianski
language : en
Publisher: World Scientific
Release Date : 1993-08-31

Relativistic Gravitational Experiments In Space Proceedings Of The First William Fairbank Meeting written by M Demianski and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-08-31 with categories.

Contents:Tests of Underlying Principles in Gravitational Physics and Their Theoretical RationaleFrameworks for Testing Gravitational Theories, Present Status of Theory Testing and Future ProspectsRotational Effects in General Relativity, Frame-Dragging and the Geodetic EffectExperiments and Theory of Gravitational RadiationAdvanced Technologies: Clocks, Drag-Free and Cryogenics in SpaceClassical GravityConsiderations in Spacecraft Design, Program Management and the Use of Columbus Space Station Readership: Physicists interested in relativity and astrophysicists. keywords:

Equations Of Motion In Relativistic Gravity

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Author : Dirk Puetzfeld
language : en
Publisher: Springer
Release Date : 2015-06-01

Equations Of Motion In Relativistic Gravity written by Dirk Puetzfeld and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-01 with Science categories.

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.

100 Years Of Chronogeometrodynamics The Status Of The Einstein S Theory Of Gravitation In Its Centennial Year

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Author : Lorenzo Iorio
language : en
Publisher: MDPI
Release Date : 2018-07-10

100 Years Of Chronogeometrodynamics The Status Of The Einstein S Theory Of Gravitation In Its Centennial Year written by Lorenzo Iorio and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-10 with Mathematics categories.

This book is a printed edition of the Special Issue "100 Years of Chronogeometrodynamics: the Status of the Einstein's Theory of Gravitation in Its Centennial Year" that was published in Universe