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

General Relativistic and Post-Newtonian Dynamics for Near-Earth Objects and Solar System Bodies PDF Author: Joseph O'Leary
Publisher:
ISBN: 9783030801861
Category :
Languages : en
Pages : 0

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Book Description
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.

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

General Relativistic and Post-Newtonian Dynamics for Near-Earth Objects and Solar System Bodies PDF Author: Joseph O'Leary
Publisher:
ISBN: 9783030801861
Category :
Languages : en
Pages : 0

Get Book Here

Book Description
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.

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

General Relativistic and Post-Newtonian Dynamics for Near-Earth Objects and Solar System Bodies PDF Author: Joseph O’Leary
Publisher: Springer Nature
ISBN: 3030801853
Category : Science
Languages : en
Pages : 106

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Book Description
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.

Relativistic Celestial Mechanics of the Solar System

Relativistic Celestial Mechanics of the Solar System PDF Author: Sergei Kopeikin
Publisher: John Wiley & Sons
ISBN: 3527634576
Category : Science
Languages : en
Pages : 897

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Book Description
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.

Relativity in Fundamental Astronomy (IAU S261)

Relativity in Fundamental Astronomy (IAU S261) PDF Author: International Astronomical Union. Symposium
Publisher: Cambridge University Press
ISBN: 9780521764810
Category : Science
Languages : en
Pages : 464

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Book Description
IAU S261 summarizes the present state of applied relativity, and discusses the applications and future tests of general relativity.

Essential Relativistic Celestial Mechanics

Essential Relativistic Celestial Mechanics PDF Author: Victor Brumberg
Publisher: CRC Press
ISBN: 9780750300629
Category : Science
Languages : en
Pages : 288

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Book Description
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.

Gravity

Gravity PDF Author: Eric Poisson
Publisher: Cambridge University Press
ISBN: 1139952390
Category : Science
Languages : en
Pages : 795

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Book Description
This textbook explores approximate solutions to general relativity and their consequences. It offers a unique presentation of Einstein's theory by developing powerful methods that can be applied to astrophysical systems. Beginning with a uniquely thorough treatment of Newtonian gravity, the book develops post-Newtonian and post-Minkowskian approximation methods to obtain weak-field solutions to the Einstein field equations. The book explores the motion of self-gravitating bodies, the physics of gravitational waves, and the impact of radiative losses on gravitating systems. It concludes with a brief overview of alternative theories of gravity. Ideal for graduate courses on general relativity and relativistic astrophysics, the book examines real-life applications, such as planetary motion around the Sun, the timing of binary pulsars, and gravitational waves emitted by binary black holes. Text boxes explore related topics and provide historical context, and over 100 exercises present challenging tests of the material covered in the main text.

Physics of the Solar System

Physics of the Solar System PDF Author: B. Bertotti
Publisher: Springer Science & Business Media
ISBN: 9781402014284
Category : Medical
Languages : en
Pages : 734

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Book Description
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.

Literature 1985, Part 2

Literature 1985, Part 2 PDF Author: S. Böhme
Publisher: Springer Science & Business Media
ISBN: 3662111780
Category : Science
Languages : en
Pages : 1106

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Book Description
Astronomy and Astrophysics Abstracts aims to present a comprehensive documen tation ofthe literatme concerning all aspects of astronomy, astrophysics, and their border fields. lt is devoted to the recording, summarizing, and indexing of the relevant publications throughout the world. Astronomy and Astrophysics Abstracts is prepared by a special department of the Astronomisches Rechen-Institut under the auspices of the International Astronomical Union. Volume 40 records literatme published in 1985 and received before February 15, 1986. Some older documents which we received late and which arenot surveyed in earlier volumes are included too. We acknowledge with thanks contributions of our colleagues all over the world. We also express our gratitude to all organiza tions, observatories, and publishers which provide us with complimentary copies of their publications. Starting with Volume 33, all the recording, correction, and data processing work was dorre by means of computers. The recording was dorre by om technical staff members Ms. Helga Ballmann, Ms. Mona El-Choura (t), Ms. Monika Kohl, Ms. Sylvia Matyssek. Ms. Karirr Burkhardt, Ms. Susanne Schlötelbmg, Mr. Mar tin Schlötelburg, and Mr. Stefan Wagner supported om task by careful proof reading. lt is a pleasure to thank them all for their encomagement.

Literature 1986, Part 1

Literature 1986, Part 1 PDF Author: Prof. Dr. Roland Wielen
Publisher: Springer Science & Business Media
ISBN: 366212355X
Category : Science
Languages : en
Pages : 1122

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Book Description


Highlights in Gravitation and Cosmology

Highlights in Gravitation and Cosmology PDF Author: B. R. Iyer
Publisher: CUP Archive
ISBN: 9780521361255
Category : Science
Languages : en
Pages : 474

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Book Description