Relativistic Celestial Mechanics of the Solar System

Author: Sergei Kopeikin
Publisher: John Wiley & Sons
ISBN: 3527634576
Format: PDF, ePub, Docs
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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

Author: Victor Brumberg
Publisher: CRC Press
ISBN: 9780750300629
Format: PDF, ePub, Mobi
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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.

New Methods of Celestial Mechanics

Author: Jan Vrbik
Publisher: Bentham Science Publishers
ISBN: 1608051870
Format: PDF, Mobi
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"The book attempts to explain the main features of celestial mechanics using a new and unique technique. Its emphasis, in terms of applications, is on the Solar System, including its most peculiar properties (such as chaos, resonances, relativistic correct"

Astrometry for Astrophysics

Author: William F. van Altena
Publisher: Cambridge University Press
ISBN: 0521519209
Format: PDF
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Unifying work by a broad range of experts in the field, this is the most complete textbook on observational astrometry.

Celestial Mechanics and Astrodynamics Theory and Practice

Author: Pini Gurfil
Publisher: Springer
ISBN: 3662503700
Format: PDF, Docs
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This volume is designed as an introductory text and reference book for graduate students, researchers and practitioners in the fields of astronomy, astrodynamics, satellite systems, space sciences and astrophysics. The purpose of the book is to emphasize the similarities between celestial mechanics and astrodynamics, and to present recent advances in these two fields so that the reader can understand the inter-relations and mutual influences. The juxtaposition of celestial mechanics and astrodynamics is a unique approach that is expected to be a refreshing attempt to discuss both the mechanics of space flight and the dynamics of celestial objects. “Celestial Mechanics and Astrodynamics: Theory and Practice” also presents the main challenges and future prospects for the two fields in an elaborate, comprehensive and rigorous manner. The book presents homogenous and fluent discussions of the key problems, rendering a portrayal of recent advances in the field together with some basic concepts and essential infrastructure in orbital mechanics. The text contains introductory material followed by a gradual development of ideas interweaved to yield a coherent presentation of advanced topics.

Proceedings of the XXIII Spanish Relativity Meeting on Reference Frames and Gravitomagnetism

Author: J. F. Pascual S nchez
Publisher: World Scientific
ISBN: 9812810021
Format: PDF
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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."

Applications and Experiments

Author: Sergei M. Kopeikin
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110345668
Format: PDF, Mobi
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With a wide range of prominent authors from the field of relativistic celestial mechanics, this first volume of a two-volume series consists of reviews on a multitude of advanced topics in the area, covering both classical as well as modern developments, while focusing on applications and experiments. On the occasion of his 80-th birthday this volume honors V. A. Brumberg – one of the pioneers in modern relativistic celestial mechanics.

Theory

Author: Sergei M. Kopeikin
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110337495
Format: PDF, Mobi
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With a wide range of prominent authors from the field of relativistic celestial mechanics, this first volume of a two-volume series consists of reviews on a multitude of advanced topics in the area, covering both classical as well as modern developments, while focusing on theoretical foundations. On the occasion of his 80-th birthday this volume honors V. A. Brumberg – one of the pioneers in modern relativistic celestial mechanics.

An Introduction to Celestial Mechanics

Author: Forest Ray Moulton
Publisher: Courier Corporation
ISBN: 0486140687
Format: PDF, ePub
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Classic text still unsurpassed in presentation of fundamental principles. Covers rectilinear motion, central forces, problems of two and three bodies, much more. Includes over 200 problems, some with answers.

New Foundations for Classical Mechanics

Author: David Hestenes
Publisher: Springer Science & Business Media
ISBN: 9400948026
Format: PDF, ePub
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This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applica tions matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics.