Integrable Problems Of Celestial Mechanics In Spaces Of Constant Curvature

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Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature

T.G. Vozmischeva
Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature Book PDF

Author : T.G. Vozmischeva
Publisher : Springer Science & Business Media
Page : 194 pages
File Size : 41,5 Mb
Release : 2013-04-17
Category : Science
ISBN : 9789401703031

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Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature by T.G. Vozmischeva Pdf

Introd uction The problem of integrability or nonintegrability of dynamical systems is one of the central problems of mathematics and mechanics. Integrable cases are of considerable interest, since, by examining them, one can study general laws of behavior for the solutions of these systems. The classical approach to studying dynamical systems assumes a search for explicit formulas for the solutions of motion equations and then their analysis. This approach stimulated the development of new areas in mathematics, such as the al gebraic integration and the theory of elliptic and theta functions. In spite of this, the qualitative methods of studying dynamical systems are much actual. It was Poincare who founded the qualitative theory of differential equa tions. Poincare, working out qualitative methods, studied the problems of celestial mechanics and cosmology in which it is especially important to understand the behavior of trajectories of motion, i.e., the solutions of differential equations at infinite time. Namely, beginning from Poincare systems of equations (in connection with the study of the problems of ce lestial mechanics), the right-hand parts of which don't depend explicitly on the independent variable of time, i.e., dynamical systems, are studied.

Integrable Systems in Celestial Mechanics

Diarmuid Ó'Mathúna
Integrable Systems in Celestial Mechanics Book PDF

Author : Diarmuid Ó'Mathúna
Publisher : Springer Science & Business Media
Page : 241 pages
File Size : 42,6 Mb
Release : 2008-12-15
Category : Science
ISBN : 9780817645953

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Integrable Systems in Celestial Mechanics by Diarmuid Ó'Mathúna Pdf

Shows that exact solutions to the Kepler (two-body), the Euler (two-fixed center), and the Vinti (earth-satellite) problems can all be put in a form that admits the general representation of the orbits and follows a definite shared pattern Includes a full analysis of the planar Euler problem via a clear generalization of the form of the solution in the Kepler case Original insights that have hithertofore not appeared in book form

Integrability, Supersymmetry and Coherent States

Şengül Kuru,Javier Negro,Luis M. Nieto
Integrability Supersymmetry and Coherent States Book PDF

Author : Şengül Kuru,Javier Negro,Luis M. Nieto
Publisher : Springer
Page : 434 pages
File Size : 53,5 Mb
Release : 2019-07-12
Category : Science
ISBN : 9783030200879

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Integrability, Supersymmetry and Coherent States by Şengül Kuru,Javier Negro,Luis M. Nieto Pdf

This volume shares and makes accessible new research lines and recent results in several branches of theoretical and mathematical physics, among them Quantum Optics, Coherent States, Integrable Systems, SUSY Quantum Mechanics, and Mathematical Methods in Physics. In addition to a selection of the contributions presented at the "6th International Workshop on New Challenges in Quantum Mechanics: Integrability and Supersymmetry", held in Valladolid, Spain, 27-30 June 2017, several high quality contributions from other authors are also included. The conference gathered 60 participants from many countries working in different fields of Theoretical Physics, and was dedicated to Prof. Véronique Hussin—an internationally recognized expert in many branches of Mathematical Physics who has been making remarkable contributions to this field since the 1980s. The reader will find interesting reviews on the main topics from internationally recognized experts in each field, as well as other original contributions, all of which deal with recent applications or discoveries in the aforementioned areas.

Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces

Alexey V. Shchepetilov
Calculus and Mechanics on Two Point Homogenous Riemannian Spaces Book PDF

Author : Alexey V. Shchepetilov
Publisher : Springer
Page : 242 pages
File Size : 53,8 Mb
Release : 2006-09-04
Category : Science
ISBN : 9783540353867

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Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces by Alexey V. Shchepetilov Pdf

This is an introduction to classical and quantum mechanics on two-point homogenous Riemannian spaces, empahsizing spaces with constant curvature. Chapters 1-4 provide basic notations for studying two-body dynamics. Chapter 5 deals with the problem of finding explicitly invariant expressions for the two-body quantum Hamiltonian. Chapter 6 addresses one-body problems in a central potential. Chapter 7 investigates the classical counterpart of the quantum system introduced in Chapter 5. Chapter 8 discusses applications in the quantum realm.

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 : 44,9 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.

The Restricted Three-Body Problem and Holomorphic Curves

Urs Frauenfelder,Otto van Koert
The Restricted Three Body Problem and Holomorphic Curves Book PDF

Author : Urs Frauenfelder,Otto van Koert
Publisher : Springer
Page : 374 pages
File Size : 49,6 Mb
Release : 2018-08-29
Category : Mathematics
ISBN : 9783319722788

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The Restricted Three-Body Problem and Holomorphic Curves by Urs Frauenfelder,Otto van Koert Pdf

The book serves as an introduction to holomorphic curves in symplectic manifolds, focusing on the case of four-dimensional symplectizations and symplectic cobordisms, and their applications to celestial mechanics. The authors study the restricted three-body problem using recent techniques coming from the theory of pseudo-holomorphic curves. The book starts with an introduction to relevant topics in symplectic topology and Hamiltonian dynamics before introducing some well-known systems from celestial mechanics, such as the Kepler problem and the restricted three-body problem. After an overview of different regularizations of these systems, the book continues with a discussion of periodic orbits and global surfaces of section for these and more general systems. The second half of the book is primarily dedicated to developing the theory of holomorphic curves - specifically the theory of fast finite energy planes - to elucidate the proofs of the existence results for global surfaces of section stated earlier. The book closes with a chapter summarizing the results of some numerical experiments related to finding periodic orbits and global surfaces of sections in the restricted three-body problem. This book is also part of the Virtual Series on Symplectic Geometry http://www.springer.com/series/16019

Solar and Space Weather Radiophysics

D.E. Gary,C.U. Keller
Solar and Space Weather Radiophysics Book PDF

Author : D.E. Gary,C.U. Keller
Publisher : Springer Science & Business Media
Page : 414 pages
File Size : 48,9 Mb
Release : 2006-01-20
Category : Science
ISBN : 9781402028144

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Solar and Space Weather Radiophysics by D.E. Gary,C.U. Keller Pdf

This volume is the outgrowth of several international meetings to discuss a vision for the future of solar radio physics: the development of a new radio instrument. From these discussions, the concept for the Frequency Agile Solar Radiotelescope (FASR) was born. Most of the chapters of this book are based oninvitedtalksattheFASRScienceWorkshop,heldinGreenbank,WVinMay 2002, and a special session on Solar and Space Weather Radiophysics held at the 200th American Astronomical Society meeting held in Albuquerque, NM in June 2002. Although many of the chapters deal with topics of interest in planning for FASR, other topics in Solar and Space Weather Radiophysics, such as solar radar and interplanetary scintillation, are covered to round out the discipline. The authors have been asked to write with a tutorial approach, to make the book useful to graduate students and scientists new to radio physics. This book is more than a compilation of FASR science topics. The FASR instrument concept is so revolutionary—by extending capability by an order of magnitude in several dimensions at once (frequency coverage, spatial reso- tion,dynamicrange,timeresolution,polarizationprecision)—thatitchallenges scientiststothinkinnewways. Theauthorsofthefollowingchaptershavebeen taskednotonlywithreviewingthecurrentstateofthe?eld,butalsowithlooking to the future and imagining what is possible. Radio emission is extremely complex because it is generated so readily, and every imaginable plasma parameter affects it. This is both its great strength and its weakness.

The Sun and Space Weather

Arnold Hanslmeier
The Sun and Space Weather Book PDF

Author : Arnold Hanslmeier
Publisher : Springer Science & Business Media
Page : 327 pages
File Size : 47,5 Mb
Release : 2007-06-19
Category : Science
ISBN : 9781402056048

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The Sun and Space Weather by Arnold Hanslmeier Pdf

This book presents comprehensive coverage of the Sun and space weather, two rapidly evolving topics. In this new edition, the information has been updated to include the latest results. In addition, new sections are included, like one on space weather data sources, as well as examples and information on new satellite missions.

Kristian Birkeland

Alv Egeland,William J. Burke
Kristian Birkeland Book PDF

Author : Alv Egeland,William J. Burke
Publisher : Springer Science & Business Media
Page : 230 pages
File Size : 49,9 Mb
Release : 2005-10-04
Category : Science
ISBN : 9781402032943

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Kristian Birkeland by Alv Egeland,William J. Burke Pdf

This biography conveys the life and accomplishments of a Norwegian hero to the English speaking world, illustrating the beginnings of collaboration between science and industry. It shows how work in a small country laid the foundation for the green revolution.

Stellar Collapse

Chris L. Fryer
Stellar Collapse Book PDF

Author : Chris L. Fryer
Publisher : Springer Science & Business Media
Page : 454 pages
File Size : 53,5 Mb
Release : 2004-04-30
Category : Mathematics
ISBN : 1402019920

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Stellar Collapse by Chris L. Fryer Pdf

Supernovae, hypernovae and gamma-ray bursts are among the most energetic explosions in the universe. The light from these outbursts is, for a brief time, comparable to billions of stars and can outshine the host galaxy within which the explosions reside. Most of the heavy elements in the universe are formed within these energetic explosions. Surprisingly enough, the collapse of massive stars is the primary source of not just one, but all three of these explosions. As all of these explosions arise from stellar collapse, to understand one requires an understanding of the others. Stellar Collapse marks the first book to combine discussions of all three phenomena, focusing on the similarities and differences between them. Designed for graduate students and scientists newly entering this field, this book provides a review not only of these explosions, but the detailed physical models used to explain them from the numerical techniques used to model neutrino transport and gamma-ray transport to the detailed nuclear physics behind the evolution of the collapse to the observations that have led to these three classes of explosions.

Multiwavelength Cosmology

Manolis Plionis
Multiwavelength Cosmology Book PDF

Author : Manolis Plionis
Publisher : Springer Science & Business Media
Page : 357 pages
File Size : 53,8 Mb
Release : 2006-04-18
Category : Science
ISBN : 9780306485701

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Multiwavelength Cosmology by Manolis Plionis Pdf

The recent scientific efforts in Astrophysics & Cosmology have brought a revolution to our understanding of the Cosmos. Amazing results is the outcome of amazing experiments! The huge scientific, technological & financial effort that has gone into building the 10-m class telescopes as well as many space and balloon observatories, essential to observe the multitude of cosmic phenomena in their manifestations at different wavelengths, from gamma-rays to the millimetre and the radio, has given and is still giving its fruits of knowledge. These recent scientific achievements in Observational and Theoretical Cosmology were presented in the "Multiwavelength Cosmology" conference that took place on beautiful Mykonos island in the Aegean between 17 and 20 June 2003. More than 180 Cosmologists from all over the world gathered for a four-day intense meeting in which recent results from large ground based surveys (AAT/2-df, SLOAN) and space missions (WMAP, Chandra, XMM, ISO, HST) were presented and debated, providing a huge impetus to our knowledge of the Cosmos. The future of the subject (experiments, and directions of research) was also discussed. The conference was devoted mostly on the constraints on Cosmological models and galaxy formation theories that arise from the study of the high redshift Universe, from clusters of galaxies, and their evolution, from the cosmic microwave background, the large-scale structure and star-formation history.

Soft X-Ray Emission from Clusters of Galaxies and Related Phenomena

R. Lieu,Jonathan Mittaz
Soft X Ray Emission from Clusters of Galaxies and Related Phenomena Book PDF

Author : R. Lieu,Jonathan Mittaz
Publisher : Springer Science & Business Media
Page : 200 pages
File Size : 40,6 Mb
Release : 2013-11-09
Category : Science
ISBN : 9781402025648

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Soft X-Ray Emission from Clusters of Galaxies and Related Phenomena by R. Lieu,Jonathan Mittaz Pdf

Since the discovery of the cluster soft excess (CSE) over eight years ago, its properties and origin have been the subject of debate. With the recent launch of new missions such as XMM-Newton and FUSE, we are beginning to answer some of the complex issues regarding the phenomenon. This conference proceedings is an attempt to bring together the latest research results and covers both observational and theoretical work on the CSE and related topics. One of the main topics is the possible relationship between the CSE and the warm-hot intergalactic medium (WHIM), which is believed to harbor 50% of the baryons in the near Universe. New data from both XMM-Newton and FUSE have indicated a possible causal link between the WHIM and CSE. Evidence is based on the apparent detection of O VII emission lines in the soft excess spectrum of the outskirts of several clusters, as well as reports of absorption lines at local and higher redshifts (seen in the spectra of distant sources) as signature of the WHIM. However, while there has been considerable optimism in attributing a substantial fraction of the cluster soft excess flux to WHIM emission, other work shows that, for example, the amount of WHIM material predicted by theoretical simulations falls way short of that necessary to account for the CSE. Other work indicates that at the cores of some cluster this excess emission is so strong, it is impossible to invoke the thermal model without at the same time enlisting radically new physics. Thus alternative interpretations involving non-thermal processes are also reported and being pursued in earnest. Whatever the origin of CSE may turn out to be, results in this book show that it has become beyond reasonable doubt that the phenomenon itself is observationally established. This book reports the scientific progress made by bringing together scientists from a wide range of disciplines. It clearly demonstrates the importance of such meetings and participants if we are to solve this puzzle. This volume is aimed at scientists and graduate students in astronomy who want to learn about the latest results on cluster soft excess observations and theoretical implications.

Supermassive Black Holes in the Distant Universe

A.J. Barger
Supermassive Black Holes in the Distant Universe Book PDF

Author : A.J. Barger
Publisher : Springer Science & Business Media
Page : 310 pages
File Size : 46,5 Mb
Release : 2013-11-09
Category : Science
ISBN : 9781402024719

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Supermassive Black Holes in the Distant Universe by A.J. Barger Pdf

Quasars, and the menagerie of other galaxies with "unusual nuclei", now collectively known as Active Galactic Nuclei or AGN, have, in one form or another, sparked the interest of astronomers for over 60 years. The only known mechanism that can explain the staggering amounts of energy emitted by the innermost regions of these systems is gravitational energy release by matter falling towards a supermassive black hole --- a black hole whose mass is millions to billions of times the mass of our Sun. AGN emit radiation at all wavelengths. X-rays originating at a distance of a few times the event horizon of the black hole are the emissions closest to the black hole that we can detect; thus, X-rays directly reveal the presence of active supermassive black holes. Oftentimes, however, the supermassive black holes that lie at the centers of AGN are cocooned in gas and dust that absorb the emitted low energy X-rays and the optical and ultraviolet light, hiding the black hole from view at these wavelengths. Until recently, this low-energy absorption presented a major obstacle in observational efforts to map the accretion history of the universe. In 1999 and 2000, the launches of the Chandra and XMM-Newton X-ray Observatories finally broke the impasse. The impact of these observatories on X-ray astronomy is similar to the impact that the Hubble Space Telescope had on optical astronomy. The astounding new data from these observatories have enabled astronomers to make enormous advances in their understanding of when accretion occurs.

Astrobiology: Future Perspectives

P. Ehrenfreund,W.M. Irvine,T. Owen,Luann Becker,Jen Blank,J.R. Brucato,Luigi Colangeli,Sylvie Derenne,Anne Dutrey,Didier Despois,Antonio Lazcano,Francois Robert
Astrobiology Future Perspectives Book PDF

Author : P. Ehrenfreund,W.M. Irvine,T. Owen,Luann Becker,Jen Blank,J.R. Brucato,Luigi Colangeli,Sylvie Derenne,Anne Dutrey,Didier Despois,Antonio Lazcano,Francois Robert
Publisher : Springer Science & Business Media
Page : 521 pages
File Size : 50,8 Mb
Release : 2006-03-05
Category : Science
ISBN : 9781402023057

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Astrobiology: Future Perspectives by P. Ehrenfreund,W.M. Irvine,T. Owen,Luann Becker,Jen Blank,J.R. Brucato,Luigi Colangeli,Sylvie Derenne,Anne Dutrey,Didier Despois,Antonio Lazcano,Francois Robert Pdf

Astrobiology, a new exciting interdisciplinary research field, seeks to unravel the origin and evolution of life wherever it might exist in the Universe. The current view of the origin of life on Earth is that it is strongly connected to the origin and evolution of our planet and, indeed, of the Universe as a whole. We are fortunate to be living in an era where centuries of speculation about the two ancient and fundamental problems: the origin of life and its prevalence in the Universe are being replaced by experimental science. The subject of Astrobiology can be approached from many different perspectives. This book is focused on abiogenic organic matter from the viewpoint of astronomy and planetary science and considers its potential relevance to the origins of life on Earth and elsewhere. Guided by the review papers in this book, the concluding chapter aims to identify key questions to motivate future research and stimulate astrobiological applications of current and future research facilities and space missions. Today’s rich array of new spacecraft, telescopes and dedicated scientists promises a steady flow of discoveries and insights that will ultimately lead us to the answers we seek.

Polarization in Spectral Lines

M. Landi Degl'Innocenti,M. Landolfi
Polarization in Spectral Lines Book PDF

Author : M. Landi Degl'Innocenti,M. Landolfi
Publisher : Springer Science & Business Media
Page : 918 pages
File Size : 53,5 Mb
Release : 2004-08-24
Category : Science
ISBN : 1402024142

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Polarization in Spectral Lines by M. Landi Degl'Innocenti,M. Landolfi Pdf

The scientific research based on spectropolarimetric techniques is undergoing a phase of rapid growth. Instruments of unprecedented sensitivity are nowadays available, particularly for solar observations. To fully exploit the rich diagnostic content of such observations, it is necessary to understand the physical mechanisms involved in the generation and transfer of polarized radiation in astrophysical (or laboratory) plasmas. After an introductory part based on classical physics, this book tackles the subject by a rigorous quantum-mechanical approach. The transfer equations for polarized radiation and the statistical equilibrium equations for the atomic density matrix are derived directly from the principles of Quantum Electrodynamics. The two sets of equations are then used to present a number of applications, mainly concerning the diagnostics of solar magnetic fields. This book is primarily addressed to scientists working in the field of spectropolarimetry. It may also serve as a textbook for a course at the graduate or advanced undergraduate level.