Description
Taylor & Francis Essential Relativistic Celestial Mechanics 1991 Edition by Victor Brumberg
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. Table of contents :- MATHEMATICAL TOOLSElements of Newtonian celestial mechanicsElements of Riemannian geometry and tensor analysisElements of special theory of relativityGRT FIELD EQUATIONSBasic principles of GRTWeak gravitational fieldProblem of measurable quantities in GRTONE-BODY PROBLEMSchwarzschild problemLight propagation in the Schwarzschild problemField of rotating spheroidAPPROXIMATE SOLUTIONS OF THE FIELD EQUATIONS AND APPROXIMATE EQUATIONS OF MOTIONN-body problemGeocentric reference frameEquations in variations for the spherically symmetrical metric spacesGravitational radiation and motion in binary systemEQUATIONS OF MOTION OF SOLAR SYSTEM BODIESEquations of motion of Earth's artificial satellitesMotion of the major planetsMotion of the MoonRELATIVISTIC REDUCTION OF ASTROMETRIC MEASUREMENTS General principles of reductionRelativistic theory of astronomical reference systemsRelativistic reduction of astrometric observationsRelativistic reduction of radio observationsRELATIVISTIC EFFECTS IN GEODYNAMICSTimescales on EarthClocks and satellites in the circumterrestrial spacePostcriptReferencesIndex