Frontiers In Relativistic Celestial Mechanics
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| Author | : Sergei M. Kopeikin |
| Publisher | : Walter de Gruyter |
| Total Pages | : 288 |
| Release | : 2014-08-20 |
| Genre | : |
| ISBN | : 9783110345674 |
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."
| Author | : Sergei Kopeikin |
| Publisher | : John Wiley & Sons |
| Total Pages | : 897 |
| Release | : 2011-09-26 |
| Genre | : Science |
| ISBN | : 3527408568 |
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 | : Bernard Schutz |
| Publisher | : Cambridge University Press |
| Total Pages | : 515 |
| Release | : 2022-06-30 |
| Genre | : Science |
| ISBN | : 1108492673 |
This widely used textbook explains general relativity for advanced undergraduates, requiring only a minimal background in mathematics.
| Author | : Xiaolei Zhang |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 338 |
| Release | : 2017-12-04 |
| Genre | : Science |
| ISBN | : 3110527421 |
This research monograph presents a new dynamical framework for the study of secular morphological evolution of galaxies along the Hubble sequence. Classical approaches based on Boltzmann’s kinetic equation, as well as on its moment-equation descendants the Euler and Navier-Stokes fluid equations, are inadequate for treating the maintenance and long-term evolution of systems containing self-organized structures such as galactic density-wave modes. A global and synthetic approach, incorporating correlated fluctuations of the constituent particles during a nonequilibrium phase transition, is adopted to supplement the continuum treatment. The cutting-edge research combining analytical, N-body simulational, and observational aspects, as well as the fundamental-physics connections it provides, make this work a valuable reference for researchers and graduate students in astronomy, astrophysics, cosmology, many-body physics, complexity theory, and other related fields. Contents Dynamical Drivers of Galaxy Evolution N-Body Simulations of Galaxy Evolution Astrophysical Implications of the Dynamical Theory Putting It All Together Concluding Remarks Appendix: Relation to Kinetics and Fluid Mechanics
| Author | : Thomas F. Mütsch |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 224 |
| Release | : 2016-05-24 |
| Genre | : Technology & Engineering |
| ISBN | : 3110413221 |
Das Buch beschreibt die Grundlagen der Raumfahrt und erklärt Einzelheiten der technischen Umsetzung. Diese spielen sich im Randbereich des technisch Machbaren ab. Es werden die Randbedingungen der Raumfahrt erklärt und wesentliche Elemente der Raketenantriebe und Energieversorgung näher beschrieben. Die Erreichbarkeit der Himmelskörper wird tabellarisch dokumentiert und im Ausblick wird als größte Vision der Raumfahrt, Menschen zum Planeten Mars zu bringen, erläutert. Im Anhang befindet sich u.a. eine umfangreiche Formelsammlung. Aufbau: Grundlagen Antriebssysteme Missionen Materialien und Prozesse Produkte und Projekte Ausblick Formelsammlung
| Author | : Joseph O’Leary |
| Publisher | : Springer Nature |
| Total Pages | : 106 |
| Release | : 2021-10-23 |
| Genre | : Science |
| ISBN | : 3030801853 |
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.
| Author | : Dirk Puetzfeld |
| Publisher | : Springer |
| Total Pages | : 485 |
| Release | : 2019-02-09 |
| Genre | : Science |
| ISBN | : 3030115003 |
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.
| Author | : Sergei M. Kopeikin |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 420 |
| Release | : 2014-10-10 |
| Genre | : Science |
| ISBN | : 3110337495 |
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
| Author | : Jay Tasson |
| Publisher | : MDPI |
| Total Pages | : 100 |
| Release | : 2020-01-21 |
| Genre | : Science |
| ISBN | : 3039280945 |
The development of special and general relativity has relied significantly on ideas of symmetry. Similarly, modern efforts to test these theories have often sought either violations or extensions of the symmetries seen, and symmetry is regularly used a tool in seeking new applications. In this Special Issue of symmetry, we explore some contemporary research related to symmetry in special and general relativity.
| Author | : Vladislav G. Bagrov |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 444 |
| Release | : 2014-08-20 |
| Genre | : Science |
| ISBN | : 3110263297 |
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.
