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Frontiers In Relativistic Celestial Mechanics
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Book Synopsis Frontiers in Relativistic Celestial Mechanics by : Sergei M. Kopeikin
Download or read book Frontiers in Relativistic Celestial Mechanics written by Sergei M. Kopeikin and published by Walter de Gruyter. This book was released on 2014-08-20 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."
Book Synopsis Frontiers in Relativistic Celestial Mechanics by : Sergei Kopeikin
Download or read book Frontiers in Relativistic Celestial Mechanics written by Sergei Kopeikin and published by de Gruyter. This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Frontiers in Relativistic Celestial Mechanics by : Sergei M. Kopeikin
Download or read book Frontiers in Relativistic Celestial Mechanics written by Sergei M. Kopeikin and published by . This book was released on 2014 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Essential Relativistic Celestial Mechanics by : Victor Brumberg
Download or read book Essential Relativistic Celestial Mechanics written by Victor Brumberg and published by CRC Press. This book was released on 2017-11-22 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Essential Relativistic Celestial Mechanics by : Victor Brumberg
Download or read book Essential Relativistic Celestial Mechanics written by Victor Brumberg and published by CRC Press. This book was released on 1991-01-01 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Relativistic Celestial Mechanics of the Solar System by : Sergei Kopeikin
Download or read book Relativistic Celestial Mechanics of the Solar System written by Sergei Kopeikin and published by John Wiley & Sons. This book was released on 2011-10-25 with total page 897 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Cosmic Frontiers of General Relativity by : William J. Kaufmann
Download or read book The Cosmic Frontiers of General Relativity written by William J. Kaufmann and published by . This book was released on 1971 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Gravitation written by T. Padmanabhan and published by Cambridge University Press. This book was released on 2010-01-28 with total page 729 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering all aspects of gravitation in a contemporary style, this advanced textbook is ideal for graduate students and researchers in all areas of theoretical physics. The 'Foundation' section develops the formalism in six chapters, and uses it in the next four chapters to discuss four key applications - spherical spacetimes, black holes, gravitational waves and cosmology. The six chapters in the 'Frontier' section describe cosmological perturbation theory, quantum fields in curved spacetime, and the Hamiltonian structure of general relativity, among several other advanced topics, some of which are covered in-depth for the first time in a textbook. The modular structure of the book allows different sections to be combined to suit a variety of courses. Over 200 exercises are included to test and develop the reader's understanding. There are also over 30 projects, which help readers make the transition from the book to their own original research.
Book Synopsis General Relativistic and Post-Newtonian Dynamics for Near-Earth Objects and Solar System Bodies by : Joseph O’Leary
Download or read book General Relativistic and Post-Newtonian Dynamics for Near-Earth Objects and Solar System Bodies written by Joseph O’Leary and published by Springer Nature. This book was released on 2021-10-23 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A First Course in General Relativity by : Bernard Schutz
Download or read book A First Course in General Relativity written by Bernard Schutz and published by Cambridge University Press. This book was released on 2022-06-30 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: This widely used textbook explains general relativity for advanced undergraduates, requiring only a minimal background in mathematics.
Book Synopsis 100 Years of Chronogeometrodynamics: The Status of the Einstein’s Theory of Gravitation in Its Centennial Year by : Lorenzo Iorio
Download or read book 100 Years of Chronogeometrodynamics: The Status of the Einstein’s Theory of Gravitation in Its Centennial Year written by Lorenzo Iorio and published by MDPI. This book was released on 2018-07-10 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Applied General Relativity by : Michael H. Soffel
Download or read book Applied General Relativity written by Michael H. Soffel and published by Springer Nature. This book was released on 2019-09-23 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematics of Particle-Wave Mechanical Systems by : James M. Hill
Download or read book Mathematics of Particle-Wave Mechanical Systems written by James M. Hill and published by Springer Nature. This book was released on 2022-11-30 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite successes of modern physics, the existence of dark energy and matter is indicative that conventional mechanical accounting is lacking. The most basic of all mechanical principles is Newton’s second law, and conventionally, energy is just energy whether particle or wave energy. In this monograph, Louis de Broglie’s idea of simultaneous existence of both particle and associated wave is developed, with a novel proposal to account for mass and energy through a combined particle-wave theory. Newton’s second law of motion is replaced by a fully Lorentz invariant reformulation inclusive of both particles and waves. The model springs from continuum mechanics and forms a natural extension of special relativistic mechanics. It involves the notion of “force in the direction of time” and every particle has both particle and wave energies, arising as characteristics of space and time respectively. Dark matter and energy then emerge as special or privileged states occurring for alignments of spatial forces with the force in the direction of time. Dark matter is essentially a backward wave and dark energy a forward wave, both propagating at the speed of light. The model includes special relativistic mechanics and Schrödinger’s quantum mechanics, and the major achievements of mechanics and quantum physics. Our ideas of particles and waves are not yet properly formulated, and are bound up with the speed of light as an extreme limit and particle-wave demarcation. Sub-luminal particles have an associated superluminal wave, so if sub-luminal waves have an associated superluminal particle, then there emerges the prospect for faster than light travel with all the implications for future humanity. Carefully structured over special relativity and quantum mechanics, Mathematics of Particle-Wave Mechanical Systems is not a completed story, but perhaps the first mechanical model within which such exalted notions might be realistically and soberly examined. If ultimately the distant universe become accessible, this will necessitate thinking differently about particles, waves and the role imposed by the speed of light. The text constitutes a single proposal in that direction and a depository for mathematically related results. It will appeal to researchers and students of mathematical physics, applied mathematics and engineering mechanics.
Book Synopsis Relativistic Geodesy by : Dirk Puetzfeld
Download or read book Relativistic Geodesy written by Dirk Puetzfeld and published by Springer. This book was released on 2019-02-09 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Aeroelastic Vibrations and Stability of Plates and Shells by : Sergey D. Algazin
Download or read book Aeroelastic Vibrations and Stability of Plates and Shells written by Sergey D. Algazin and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-12-11 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Back-action of aerodynamics onto structures such as wings cause vibrations and may resonantly couple to them, thus causing instabilities (flutter) and endangering the whole structure. By careful choices of geometry, materials and damping mechanisms, hazardous effects on wind engines, planes, turbines and cars can be avoided. Besides an introduction into the problem of flutter, new formulations of flutter problems are given as well as a treatise of supersonic flutter and of a whole range of mechanical effects. Numerical and analytical methods to study them are developed and applied to the analysis of new classes of flutter problems for plates and shallow shells of arbitrary plane form. Specific problems discussed in the book in the context of numerical simulations are supplemented by Fortran code examples (available on the website).
Book Synopsis Non-perturbative Effective Interactions in the Standard Model by : Boris A. Arbuzov
Download or read book Non-perturbative Effective Interactions in the Standard Model written by Boris A. Arbuzov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-08-25 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the nonperturbative dynamics in the Standard Model (SM), the basic theory of allfundamental interactions in natureexcept gravity. The Standard Model is divided into two parts: the quantum chromodynamics (QCD) and the electro-weak theory (EWT) are well-defined renormalizable theories in which the perturbation theory is valid. However, for the adequate description of the real physics nonperturbative effects are inevitable. This book describes how these nonperturbative effects may be obtained in the framework of spontaneous generation of effective interactions. The well-known example of such effective interaction is provided by the famous Nambu-Jona-Lasinio effective interaction. Also a spontaneous generation of this interaction in the framework of QCD is described and applied to the method for other effective interactions in QCD and EWT. The method is based on N.N. Bogoliubov's conception of compensation equations. As a result we then describe the principal features of the Standard Model, e.g. Higgs sector, and significant nonperturbative effects including recent results obtained at LHC and TEVATRON.
Book Synopsis The Dirac Equation and its Solutions by : Vladislav G. Bagrov
Download or read book The Dirac Equation and its Solutions written by Vladislav G. Bagrov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-08-20 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Dirac equation is of fundamental importance for relativistic quantum mechanics and quantum electrodynamics. In relativistic quantum mechanics, the Dirac equation is referred to as one-particle wave equation of motion for electron in an external electromagnetic field. In quantum electrodynamics, exact solutions of this equation are needed to treat the interaction between the electron and the external field exactly. In this monograph, all propagators of a particle, i.e., the various Green's functions, are constructed in a certain way by using exact solutions of the Dirac equation.
