Victor A. Brumberg Livres

Focusing on contemporary analytical and semi-analytical techniques, this book addresses celestial mechanics problems by bridging the gap between methods and computational implementations. It emphasizes algorithms that can be adapted to various computer algebra systems without conflating their essence with specific programming languages. This work builds on the author's previous publication from 1980, offering a fresh perspective and new insights while retaining some foundational concepts. The extensive range of computer algebra systems available is acknowledged, highlighting the versatility of the techniques presented.

Relativistic celestial mechanics, which examines the motion of celestial bodies under general relativity, is crucial in modern experimental gravitational physics. This two-volume series features contributions from leading experts, covering a wide array of advanced topics. It begins with classical subjects like asymptotically-flat spacetime, light propagation, and celestial ephemerides, and extends to cosmology, alternative gravity theories, and contemporary experiments. The second volume focuses on practical applications and experimental validations of the theory. It discusses methods for determining light travel times in curved spacetime, laser ranging between Earth and the Moon, and satellite interactions, along with their implications for time scales and clock comparison techniques. This collection celebrates V. A. Brumberg on his 80th birthday, acknowledging his pioneering contributions to the field. Notable contributions include discussions on the French school of analytical celestial mechanics, elliptic functions for dynamical astronomy, new tools for light travel time determination in static spacetimes, lunar laser ranging, testing relativistic mechanics with radio pulsars, and a review of atomic time and clock comparisons in relativistic contexts.