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

2021
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Release : 2021
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Kind : eBook
Book Rating : 861/5 ( reviews)

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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. This book was released on 2021. 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.

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

2021-10-23 Science
Download General Relativistic and Post-Newtonian Dynamics for Near-Earth Objects and Solar System Bodies PDF Online Free

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Release : 2021-10-23
Genre : Science
Kind : eBook
Book Rating : 853/5 ( reviews)

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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. This book was released on 2021-10-23. 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.

Relativistic Celestial Mechanics of the Solar System

2011-10-25 Science
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Release : 2011-10-25
Genre : Science
Kind : eBook
Book Rating : 576/5 ( reviews)

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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. This book was released on 2011-10-25. 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.

Essential Relativistic Celestial Mechanics

2017-11-22 Science
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Release : 2017-11-22
Genre : Science
Kind : eBook
Book Rating : 699/5 ( reviews)

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Book Synopsis Essential Relativistic Celestial Mechanics by : Victor Brumberg

Download or read book Essential Relativistic Celestial Mechanics written by Victor Brumberg. This book was released on 2017-11-22. 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.

Essential Relativistic Celestial Mechanics

1991-01-01 Science
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Release : 1991-01-01
Genre : Science
Kind : eBook
Book Rating : 629/5 ( reviews)

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Book Synopsis Essential Relativistic Celestial Mechanics by : Victor Brumberg

Download or read book Essential Relativistic Celestial Mechanics written by Victor Brumberg. This book was released on 1991-01-01. 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.

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