Relativity In Celestial Mechanics And Astrometry

Author : Michael H. Soffel
Publisher : Springer Science & Business Media
Page : 221 pages
File Size : 47,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642734069

Get Book

Relativity in Astrometry, Celestial Mechanics and Geodesy by Michael H. Soffel Pdf

The book "Relativity in Astrometry, Celestial Mechanics and Geodesy" repre sents a significant contribution to modern relativistic celestial mechanics and astrometry. In these branches of astronomy the theory of general relativity is used nowadays as an efficient practical framework for constructing accurate dynamical theories of motion of celestial bodies and discussing high-precision observations. The author develops the useful tools for this purpose and intro duces the reader into the modern state of the art in these domains. More specifically, the distinctive feature of the book is the wide application of the tetrad formalism to astronomical problems. One may not agree with the author's opinion that this is the only method so far to be able to treat the rel ativistic astronomical problems in a consistent and satisfactory manner. (On the contrary, one may foresee in the nearest future other books on relativistic celestial mechanics and astrometry based on different approaches solving the same problems. ) However, we are now at the beginning of practical relativis tic astronomy and it will demand much effort to reconstruct in a relativistic manner all Newtonian conceptions of ephemeris astronomy and geodesy. In particular, this concern. s the definitions of reference frames, time scales and astronomical units of measurement. This book is one of the first steps in the correct direction. V. A.

Author : Victor Brumberg
Publisher : Routledge
Page : 133 pages
File Size : 48,9 Mb
Release : 2017-11-22
Category : Science
ISBN : 9781351449687

Get Book

Essential Relativistic Celestial Mechanics by Victor Brumberg Pdf

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.

Author : Sergei Kopeikin,Michael Efroimsky,George Kaplan
Publisher : John Wiley & Sons
Page : 897 pages
File Size : 43,6 Mb
Release : 2011-09-26
Category : Science
ISBN : 9783527408566

Get Book

Relativistic Celestial Mechanics of the Solar System by Sergei Kopeikin,Michael Efroimsky,George Kaplan Pdf

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.

Author : Michael H. Soffel,Wen-Biao Han
Publisher : Springer Nature
Page : 540 pages
File Size : 42,5 Mb
Release : 2019-09-23
Category : Science
ISBN : 9783030196738

Get Book

Applied General Relativity by Michael H. Soffel,Wen-Biao Han Pdf

In the late 20th and beginning 21st century high-precision astronomy, positioning and metrology strongly rely on general relativity. Supported by exercises and solutions this book offers graduate students and researchers entering those fields a self-contained and exhaustive but accessible treatment of applied general relativity. The book is written in a homogenous (graduate level textbook) style allowing the reader to understand the arguments step by step. It first introduces the mathematical and theoretical foundations of gravity theory and then concentrates on its general relativistic applications: clock rates, clock sychronization, establishment of time scales, astronomical references frames, relativistic astrometry, celestial mechanics and metrology. The authors present up-to-date relativistic models for applied techniques such as Satellite LASER Ranging (SLR), Lunar LASER Ranging (LLR), Globale Navigation Satellite Systems (GNSS), Very Large Baseline Interferometry (VLBI), radar measurements, gyroscopes and pulsar timing. A list of acronyms helps the reader keep an overview and a mathematical appendix provides required functions and terms.

Author : International Astronomical Union. Symposium
Publisher : Springer
Page : 456 pages
File Size : 48,5 Mb
Release : 1986-02-28
Category : Science
ISBN : UVA:X001388479

Get Book

Relativity in Celestial Mechanics and Astrometry by International Astronomical Union. Symposium Pdf

Proceedings of the 114th Symposium of the International Astronomical Union, held in Leningrad, USSR, May 28-31, 1985

Author : Jean Kovalevsky,V.A. Brumberg
Publisher : Springer
Page : 0 pages
File Size : 53,9 Mb
Release : 1986-02-28
Category : Science
ISBN : 9027721890

Get Book

Relativity in Celestial Mechanics and Astrometry by Jean Kovalevsky,V.A. Brumberg Pdf

The driving idea, in organizing this Symposium on "Relativity in Celestial Mechanics . and Astrometry" was that, in recent years, the ac curacy of several Astrometric techniques has so much increased that re lativistic effects are no more marginally mentioned in academic presen tations but have become an intrinsic part of the interpretation of all the positional data. Techniques such as V. L. B. I. , space probes, lunar lasers, etc . . . have greatly contributed to reduce the accuracy level to an angular equivalent of a few milliarc-seconds. HIPPARCOS will extend this trend to stellar astrometry and new proposals aim at gaining ano ther one or two orders of magnitude in observing precision. In paral lel, great progress has also been made in the theories of motion of ce lestial bodies and more rigourous treatments within the frame of general relativity become necessary. The definition of reference frames and of various coordinate times become also a major problem in the intercompa rison of observations produced by different methods. This Symposium gave to people using relativistic corrections in reducing their measurements or in constructing various theories of mo tion a chance to exchange their experience in the field and to confront it with theoreticians in general relativity. The Symposium was approved by the IAU in 1983 and it was organi zed by the Institute of Theoretical Astronomy of the USSR Academy of Sciences on May 28-31, 1985.

Author : V. A. Brumberg
Publisher : Unknown
Page : 128 pages
File Size : 52,6 Mb
Release : 2017
Category : Astrometry
ISBN : 0203756592

Get Book

Essential Relativistic Celestial Mechanics by V. A. Brumberg Pdf

"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."--Provided by publisher.

Author : Jean Kovalevsky,V.A. Brumberg
Publisher : Unknown
Page : 0 pages
File Size : 54,8 Mb
Release : 1986
Category : Astrometry Celestial
ISBN : OCLC:1158755726

Get Book

Relativity in celestial mechanics and astrometry by Jean Kovalevsky,V.A. Brumberg Pdf

Author : Anonim
Publisher : Unknown
Page : 426 pages
File Size : 54,8 Mb
Release : 1986
Category : Electronic
ISBN : OCLC:246436685

Get Book

Relativity in Celestial Mechanics and Astrometry by Anonim Pdf

Author : Sergei M. Kopeikin
Publisher : Walter de Gruyter GmbH & Co KG
Page : 343 pages
File Size : 52,6 Mb
Release : 2014-08-20
Category : Science
ISBN : 9783110379532

Get Book

Applications and Experiments by Sergei M. Kopeikin Pdf

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

Author : Sergei M. Kopeikin
Publisher : Walter de Gruyter GmbH & Co KG
Page : 320 pages
File Size : 47,8 Mb
Release : 2014-08-20
Category : Science
ISBN : 9783110345667

Get Book

Applications and Experiments by Sergei M. Kopeikin Pdf

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

Author : Jean Kovalevsky,P. Kenneth Seidelmann
Publisher : Unknown
Page : 424 pages
File Size : 43,7 Mb
Release : 2011-12-18
Category : Nature
ISBN : 9781139118293

Get Book

Fundamentals of Astrometry by Jean Kovalevsky,P. Kenneth Seidelmann Pdf

This text details the fundamentals of astrometry at milli- and micro-arcsecond accuracies.

Author : Michael Soffel,Ralf Langhans
Publisher : Springer Science & Business Media
Page : 321 pages
File Size : 53,8 Mb
Release : 2012-10-18
Category : Science
ISBN : 9783642302251

Get Book

Space-Time Reference Systems by Michael Soffel,Ralf Langhans Pdf

The high accuracy of modern astronomical spatial-temporal reference systems has made them considerably complex. This book offers a comprehensive overview of such systems. It begins with a discussion of ‘The Problem of Time’, including recent developments in the art of clock making (e.g., optical clocks) and various time scales. The authors address the definitions and realization of spatial coordinates by reference to remote celestial objects such as quasars. After an extensive treatment of classical equinox-based coordinates, new paradigms for setting up a celestial reference system are introduced that no longer refer to the translational and rotational motion of the Earth. The role of relativity in the definition and realization of such systems is clarified. The topics presented in this book are complemented by exercises (with solutions). The authors offer a series of files, written in Maple, a standard computer algebra system, to help readers get a feel for the various models and orders of magnitude. Beyond astrometry, the main fields of application of high-precision astronomical spatial-temporal reference systems and frames are navigation (GPS, interplanetary spacecraft navigation) and global geodynamics, which provide a high-precision Celestial Reference System and its link to any terrestrial spatial-temporal reference system. Mankind’s urgent environmental questions can only be answered in the context of appropriate reference systems in which both aspects, space and time, are realized with a sufficiently high level of accuracy. This book addresses all those interested in high-precision reference systems and the various techniques (GPS, Very Long Baseline Interferometry, Satellite Laser Ranging, Lunar Laser Ranging) necessary for their realization, including the production and dissemination of time signals.

Author : William F. van Altena
Publisher : Cambridge University Press
Page : 431 pages
File Size : 46,8 Mb
Release : 2013
Category : Nature
ISBN : 9780521519205

Get Book

Astrometry for Astrophysics by William F. van Altena Pdf

Unifying work by a broad range of experts in the field, this is the most complete textbook on observational astrometry.

Author : Sergei M. Kopeikin
Publisher : Unknown
Page : 350 pages
File Size : 45,7 Mb
Release : 2014
Category : SCIENCE
ISBN : 3110337479

Get Book

Frontiers in Relativistic Celestial Mechanics by Sergei M. Kopeikin Pdf

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.