Relativistic Celestial Mechanics Of The Solar System

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Relativistic Celestial Mechanics of the Solar System

Sergei Kopeikin,Michael Efroimsky,George Kaplan
Relativistic Celestial Mechanics of the Solar System Book PDF

Author : Sergei Kopeikin,Michael Efroimsky,George Kaplan
Publisher : John Wiley & Sons
Page : 897 pages
File Size : 45,7 Mb
Release : 2011-10-25
Category : Science
ISBN : 9783527634576

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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.

Essential Relativistic Celestial Mechanics

Victor Brumberg
Essential Relativistic Celestial Mechanics Book PDF

Author : Victor Brumberg
Publisher : CRC Press
Page : 274 pages
File Size : 46,7 Mb
Release : 2017-11-22
Category : Science
ISBN : 9781351449694

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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.

Essential Relativistic Celestial Mechanics

Victor Brumberg
Essential Relativistic Celestial Mechanics Book PDF

Author : Victor Brumberg
Publisher : CRC Press
Page : 288 pages
File Size : 41,5 Mb
Release : 1991-01-01
Category : Science
ISBN : 0750300620

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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.

Applied General Relativity

Michael H. Soffel,Wen-Biao Han
Applied General Relativity Book PDF

Author : Michael H. Soffel,Wen-Biao Han
Publisher : Springer Nature
Page : 540 pages
File Size : 52,5 Mb
Release : 2019-09-23
Category : Science
ISBN : 9783030196738

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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.

Relativity in Astrometry, Celestial Mechanics and Geodesy

Michael H. Soffel
Relativity in Astrometry Celestial Mechanics and Geodesy Book PDF

Author : Michael H. Soffel
Publisher : Springer Science & Business Media
Page : 221 pages
File Size : 40,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642734069

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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.

Relativistic Celestial Mechanics of the Solar System

Sergei Kopeikin,Michael Efroimsky,George Kaplan
Relativistic Celestial Mechanics of the Solar System Book PDF

Author : Sergei Kopeikin,Michael Efroimsky,George Kaplan
Publisher : John Wiley & Sons
Page : 897 pages
File Size : 53,8 Mb
Release : 2011-09-26
Category : Science
ISBN : 9783527408566

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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.

Dynamics, Ephemerides and Astrometry of the Solar System

Sylvio Ferraz-Mello,B. Morando,J.-E. Arlot
Dynamics Ephemerides and Astrometry of the Solar System Book PDF

Author : Sylvio Ferraz-Mello,B. Morando,J.-E. Arlot
Publisher : Springer Science & Business Media
Page : 530 pages
File Size : 55,5 Mb
Release : 1996-06-30
Category : Science
ISBN : 9780792340850

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Dynamics, Ephemerides and Astrometry of the Solar System by Sylvio Ferraz-Mello,B. Morando,J.-E. Arlot Pdf

IAU Symposium 172 Dynamics, Ephemerides and Astrometry of the Solar System was held in Paris in July, 1995. 250 scientists from 33 countries attended the symposium; 24 invited lectures and 165 contributed papers were presented (117 of which were posters). The papers covered topics on celestial mechanics (chaos and evolution of the solar system, asteroids, theories of the motion of the planets, the moon and the natural satellites), methods (symplectic mappings and elliptic functions), astrometry (CCD observations, VLBI and radar observations), ephemerides (representation and numerical integration) and on the history of celestial mechanics.

Applications and Experiments

Sergei M. Kopeikin
Applications and Experiments Book PDF

Author : Sergei M. Kopeikin
Publisher : Walter de Gruyter GmbH & Co KG
Page : 317 pages
File Size : 50,9 Mb
Release : 2014-08-20
Category : Science
ISBN : 9783110379532

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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

General Relativistic and Post-Newtonian Dynamics for Near-Earth Objects and Solar System Bodies

Joseph O’Leary
General Relativistic and Post Newtonian Dynamics for Near Earth Objects and Solar System Bodies Book PDF

Author : Joseph O’Leary
Publisher : Springer Nature
Page : 106 pages
File Size : 53,6 Mb
Release : 2021-10-23
Category : Science
ISBN : 9783030801854

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General Relativistic and Post-Newtonian Dynamics for Near-Earth Objects and Solar System Bodies by Joseph O’Leary Pdf

Owing to the increased accuracy requirements in fields such as astrometry and geodesy the general theory of relativity must be taken into account for any mission requiring highly accurate orbit information and for practically all observation and measurement techniques. This book highlights the confluence of Applied Mathematics, Physics and Space Science as seen from Einstein's general theory of relativity and aims to bridge the gap between theoretical and applied domains. The book investigates three distinct areas of general relativity: Exact solutions of the Einstein field equations of gravitation. Dynamics of near-Earth objects and solar system bodies. Relativistic orbitography. This book is an updated and expanded version of the author’s PhD thesis which was awarded the International Astronomical Union PhD prize in Division A: Fundamental Astronomy. Included is a new introduction aimed at graduate students of General Relativity and extended discussions and results on topics in post-Newtonian dynamics and general relativistic spacecraft propagation.

Physics of the Earth and the Solar System

B. Bertotti,Paolo Farinella
Physics of the Earth and the Solar System Book PDF

Author : B. Bertotti,Paolo Farinella
Publisher : Springer Science & Business Media
Page : 494 pages
File Size : 42,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400919167

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Physics of the Earth and the Solar System by B. Bertotti,Paolo Farinella Pdf

From the reviews: ".....The book is a very good balance between theory and applications, of analysis and synthesis, keeping always the focus on the comprehension of the physics ruling our planetary system. In summary, this represents both an excellent textbook for students and a fundamental reference, and encyclopedic summary current knowledge, for researchers in the Solar System field." (Alessandro Rossi, Celestial Mechanics and Dynamical Astronomy, 2005)

Modern Celestial Mechanics

Alessandro Morbidelli
Modern Celestial Mechanics Book PDF

Author : Alessandro Morbidelli
Publisher : CRC Press
Page : 0 pages
File Size : 43,8 Mb
Release : 2002-05-16
Category : Science
ISBN : 0415279380

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Modern Celestial Mechanics by Alessandro Morbidelli Pdf

In the last 20 years, researchers in the field of celestial mechanics have achieved spectacular results in their effort to understand the structure and evolution of our solar system. Modern Celestial Mechanics uses a solid theoretical basis to describe recent results on solar system dynamics, and it emphasizes the dynamics of planets and of small bodies. To grasp celestial mechanics, one must comprehend the fundamental concepts of Hamiltonian systems theory, so this volume begins with an explanation of those concepts. Celestial mechanics itself is then considered, including the secular motion of planets and small bodies and mean motion resonances. Graduate students and researchers of astronomy and astrophysics will find Modern Celestial Mechanics an essential addition to their bookshelves.

Physics of the Solar System

B. Bertotti,Paolo Farinella,David Vokrouhlický
Physics of the Solar System Book PDF

Author : B. Bertotti,Paolo Farinella,David Vokrouhlický
Publisher : Springer Science & Business Media
Page : 734 pages
File Size : 45,8 Mb
Release : 2003
Category : Medical
ISBN : 1402014287

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Physics of the Solar System by B. Bertotti,Paolo Farinella,David Vokrouhlický Pdf

This volume covers most areas in the physics of the solar system, with special emphasis on gravitational dynamics; its gist is the rational, in particular mathematical, understanding of the main processes at work. Special stress is given to the variety of objects in the planetary system and their long-term evolution. The unique character of this book is its breadth and depth, which aims at bringing the reader to the threshold of original research; however, special chapters and introductory sections are included for the benefit of the beginner. The volume is generally suitable for post-graduate students and researchers in physics, especially in the field related to the solar system. A large amount of figures and diagrams is included, often compiled with real data.

Solar System Dynamics

Carl D. Murray,Stanley F. Dermott
Solar System Dynamics Book PDF

Author : Carl D. Murray,Stanley F. Dermott
Publisher : Cambridge University Press
Page : 612 pages
File Size : 40,8 Mb
Release : 1999
Category : Science
ISBN : 0521575974

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Solar System Dynamics by Carl D. Murray,Stanley F. Dermott Pdf

The Solar System is a complex and fascinating dynamical system. This is the first textbook to describe comprehensively the dynamical features of the Solar System and to provide students with all the mathematical tools and physical models they need to understand how it works. It is a benchmark publication in the field of planetary dynamics and destined to become a classic. Clearly written and well illustrated, Solar System Dynamics shows how a basic knowledge of the two- and three-body problems and perturbation theory can be combined to understand features as diverse as the tidal heating of Jupiter's moon Io, the origin of the Kirkwood gaps in the asteroid belt, and the radial structure of Saturn's rings. Problems at the end of each chapter and a free Internet Mathematica® software package are provided. Solar System Dynamics provides an authoritative textbook for courses on planetary dynamics and celestial mechanics. It also equips students with the mathematical tools to tackle broader courses on dynamics, dynamical systems, applications of chaos theory and non-linear dynamics.

Frontiers in Relativistic Celestial Mechanics

Sergei M. Kopeikin
Frontiers in Relativistic Celestial Mechanics Book PDF

Author : Sergei M. Kopeikin
Publisher : Unknown
Page : 350 pages
File Size : 41,7 Mb
Release : 2014
Category : SCIENCE
ISBN : 3110337479

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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.

100 Years of Chronogeometrodynamics: The Status of the Einstein’s Theory of Gravitation in Its Centennial Year

Lorenzo Iorio,Elias C. Vagenas
100 Years of Chronogeometrodynamics The Status of the Einstein s Theory of Gravitation in Its Centennial Year Book PDF

Author : Lorenzo Iorio,Elias C. Vagenas
Publisher : MDPI
Page : 469 pages
File Size : 46,7 Mb
Release : 2018-07-10
Category : Electronic book
ISBN : 9783038424826

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100 Years of Chronogeometrodynamics: The Status of the Einstein’s Theory of Gravitation in Its Centennial Year by Lorenzo Iorio,Elias C. Vagenas Pdf

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