Essential Relativistic Celestial Mechanics

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