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Essential Relativistic Celestial Mechanics - Victor Brumberg

Essential Relativistic Celestial Mechanics


Published: 1st January 1991
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This book is devoted to systematic exposition of the essential questions of relativistic celestial mechanics & their relation to relativistic astrometry. Much attention is paid to the problem of comparison of calculated & measurable quantities which is of paramount importance in using general relativity as a necessary framework in the discussion of high-precision observations & for the construction of accurate dynamical ephemerides. The book deals with the results obtained in recent years in the general relativistic theory of motion of celestial bodies & in developing relativistic theory of astronomical reference frames, time scales & the reduction of observations. Intended for specialists, postgraduates & students in astronomy & physics.

MATHEMATICAL TOOLS Elements of Newtonian celestial mechanics Elements of Riemannian geometry and tensor analysis Elements of special theory of relativity GRT FIELD EQUATIONS Basic principles of GRT Weak gravitational field Problem of measurable quantities in GRT ONE-BODY PROBLEM Schwarzschild problem Light propagation in the Schwarzschild problem Field of rotating spheroid APPROXIMATE SOLUTIONS OF THE FIELD EQUATIONS AND APPROXIMATE EQUATIONS OF MOTION N-body problem Geocentric reference frame Equations in variations for the spherically symmetrical metric spaces Gravitational radiation and motion in binary system EQUATIONS OF MOTION OF SOLAR SYSTEM BODIES Equations of motion of Earth's artificial satellites Motion of the major planets Motion of the Moon RELATIVISTIC REDUCTION OF ASTROMETRIC MEASUREMENTS General principles of reduction Relativistic theory of astronomical reference systems Relativistic reduction of astrometric observations Relativistic reduction of radio observations RELATIVISTIC EFFECTS IN GEODYNAMICS Timescales on Earth Clocks and satellites in the circumterrestrial space Postcript References Index

ISBN: 9780750300629
ISBN-10: 0750300620
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 274
Published: 1st January 1991
Publisher: Taylor & Francis Ltd
Country of Publication: GB
Dimensions (cm): 23.5 x 15.6  x 1.7
Weight (kg): 0.57
Edition Number: 1