Relativistic celestial mechanics - investigating the motion celestial bodies in general relativity - is a major tool of modern experimental gravitational physics. With a wide range of prominent authors from the field, this two-volume series consists of reviews on a multitude of advanced topics in the area of relativistic celestial mechanics which cover a wide range of topics from more canonical - such as equations of motion of N-body system in asymptotically-flat spacetime, light propagation and celestial ephemerides - to progressive interdisciplinary studies in gravitational wave astronomy, cosmology and alternative theories of gravity as well as modern experiments for testing general theory of relativity. Volume 1 is concerned with theoretical foundations such as post-Newtonian solutions to the two-body problem, light propagation through time-dependent gravitational fields, as well as cosmological effects on the movements of bodies in various astrophysical systems. Volume 2 covers applications of the theory as well as experimental verifications. From tools to determine light travel times in curved space-time to laser ranging between earth and moon and between satellites, and impacts on the definition of time scales and clock comparison techniques, a variety of effects is discussed. On the occasion of his 80th birthday, these two volumes honor V.A. Brumberg - one of the pioneers in modern relativistic celestial mechanics.

lgli/Frontiers in Relativistic Celestial Mechanics-Vol2-Applications.pdf

lgrsnf/Frontiers in Relativistic Celestial Mechanics-Vol2-Applications.pdf

zlib/Mathematics/Mathematical Physics/Sergei M. Kopeikin (Editor)/Frontiers in Relativistic Celestial Mechanics. Volume 2: Applications and Experiments_5333205.pdf

Frontiers in relativistic celestial mechanics Vol. 2. Applications and experiments : [this Festschrift is dedicated to Victor A. Brumberg

Applications and Experiments (De Gruyter Studies in Mathematical Physics Book 22)

Frontiers in relativistic celestial mechanics, Vol. 1 : theory

Frontiers in Relativistic Celestial Mechanics. Volume 1 Theory

Theory (De Gruyter Studies in Mathematical Physics, 21)

Applications and Experiments Vol. 2

Kopeikin, Sergei M.; Fienga, Agnes; Fukushima, Toshio; Teyssandier, Pierre; Müller, Jürgen; Wex, Norbert; Ciufolini, Ignazio; Petit, G; Penrose, Roger

Sergei M. Kopeikin; Agnes Fienga; Toshio Fukushima; Pierre Teyssandier; Jürgen Müller; Norbert Wex; Ignazio Ciufolini; G Petit; Roger Penrose

Sergei M Kopeikin; Michael Soffel; Thibault Damour; Gerhard Schäfer; Sergei Kopeikin; Toshifumi Futamase; Yi Xie; Pavel Korobkov

Sergei M. Kopeikin; Michael Soffel; Thibault Damour; Toshifumi Futamase; Yi Xie; Pavel Korobkov; G. Schfer

Michael Soffel, Thibault Damour, Gerhard Schäfer, Sergei Kopeikin, Toshifumi Futamase, Sergei M. Kopeikin

Sergei Kopeikin; V. A Brumberg

edited by Sergei M. Kopeikin

Victor A Brumberg

Saur, K. G., Verlag. ein Imprint der Walter de Gruyter GmbH

düsseldorf university press. in Walter de Gruyter GmbH

Walter de Gruyter GmbH & Co. KG

de Gruyter GmbH, Walter

De Gruyter, Inc.

De Gruyter studies in mathematical physics -- vol. 22, Cop. 2014, Germany, 2014

De Gruyter studies in mathematical physics -- vol. 21, Cop. 2014, Germany, 2014

De Gruyter Studies in Mathematical Physics, Vol. 1, Berlin [u.a, 2014

De Gruyter studies in mathematical physics, Vol. 2, Berlin [u.a, 2014

De Gruyter studies in mathematical physics, Berlin Boston Mass, 2014

Illustrated, 1, FR, 2014

0

lg2457932

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Includes bibliographical references and index.

Includes bibliographical references and index

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Relativistic celestial mechanics – investigating the motion celestial bodies under the influence of general relativity – is a major tool of modern experimental gravitational physics. With a wide range of prominent authors from the field, this two-volume series consists of reviews on a multitude of advanced topics in the area of relativistic celestial mechanics – starting from more classical topics such as the regime of asymptotically-flat spacetime, light propagation and celestial ephemerides, but also including its role in cosmology and alternative theories of gravity as well as modern experiments in this area. This second volume of a two-volume series covers applications of the theory as well as experimental verifications. From tools to determine light travel times in curved space-time to laser ranging between earth and moon and between satellites, and impacts on the definition of time scales and clock comparison techniques, a variety of effects is discussed. On the occasion of his 80-th birthday, these two volumes honor V. A. Brumberg – one of the pioneers in modern relativistic celestial mechanics. Contributions include: J. Simon, A. Fienga: Victor Brumberg and the French school of analytical celestial mechanics T. Fukushima: Elliptic functions and elliptic integrals for celestial mechanics and dynamical astronomy P. Teyssandier: New tools for determining the light travel time in static, spherically symmetric spacetimes beyond the order G2 J. Müller, L. Biskupek, F. Hofmann and E. Mai: Lunar laser ranging and relativity N. Wex: Testing relativistic celestial mechanics with radio pulsars I. Ciufolini et al.: Dragging of inertial frames, fundamental physics, and satellite laser ranging G. Petit, P. Wolf, P. Delva: Atomic time, clocks, and clock comparisons in relativistic spacetime: a review
Erscheinungsdatum: 30.06.2014

Relativistic celestial mechanics – investigating the motion celestial bodies under the influence of general relativity – is a major tool of modern experimental gravitational physics. With a wide range of prominent authors from the field, this two-volume series consists of reviews on a multitude of advanced topics in the area of relativistic celestial mechanics – starting from more classical topics such as the regime of asymptotically-flat spacetime, light propagation and celestial ephemerides, but also including its role in cosmology and alternative theories of gravity as well as modern experiments in this area. This first volume of a two-volume series is concerned with theoretical foundations such as post-Newtonian solutions to the two-body problem, light propagation through time-dependent gravitational fields, as well as cosmological effects on the movement of bodies in the solar systems. On the occasion of his 80-th birthday, these two volumes honor V. A. Brumberg – one of the pioneers in modern relativistic celestial mechanics. Contributions include: M. Soffel: On the DSX-framework T. Damour: The general relativistic two body problem G. Schaefer: Hamiltonian dynamics of spinning compact binaries through high post-Newtonian approximations A. Petrov and S. Kopeikin: Post-Newtonian approximations in cosmology T. Futamase: On the backreaction problem in cosmology Y. Xie and S. Kopeikin: Covariant theory of the post-Newtonian equations of motion of extended bodies S. Kopeikin and P. Korobkov: General relativistic theory of light propagation in multipolar gravitational fields
Erscheinungsdatum: 16.06.2014

Volume 1 : Theory
The general relativistic two-body problem / Thibault Damour
Hamiltonian dynamics of spinning compact binaries through high post-Newtonian approximations / Gerhard Schäfer
Covariant theory of the post-Newtonian equations of motion of extended bodies / Yi Xie and Sergei Kopeikin
On the DSX-framework / Michael Soffel
General relativistic theory of light propagation in multipolar gravitational fields / Pavel Korobkov and Sergei Kopeikin
On the backreaction problem in cosmology / Toshifumi Futamase
Post-Newtonian approximations in cosmology / Alexander Petrov and Sergei Kopeikin.
Volume 2 : Applications and Experiments
New tools for determining the light travel time in static, spherically symmetric spacetimes beyond the order G2 / Pierre Teyssandier
Testing relativistic gravity with radio pulsars / Norbert Wex
Lunar laser ranging and relativity / Jürgen Müller, Liliane Biskupek, Franz Hofmann, and Enrico Mai
Dragging of inertial frames, fundamental physics, and satellite laser ranging / Ignazio Ciufolini, Antonio Paolozzi, Vahe Gurzadyan, Erricos C. Pavlis, Rolf König, John Ries, Richard Matzner, Roger Penrose, Giampiero Sindoni, and Claudio Paris
Elliptic functions and elliptic integrals for celestial mechanics and dynamical astronomy / Toshio Fukushima
Victor Brumberg and the French school of analytical celestial mechanics / Jean-Louis Simon and Agnes Fienga
Atomic time, clocks, and clock comparisons in relativistic spacetime / Gérard Petit, Peter Wolf, and Pacôme Delva.

Victor Brumberg and the French school of analytical celestial mechanics / J. Simon, A. Fienga
Elliptic functions and elliptic integrals for celestial mechanics and dynamical astronomy / T. Fukushima
New tools for determining the light travel time in static, spherically symmetric spacetimes beyond the order G2 / P. Teyssandier
Lunar laser ranging and relativity / J. Müller, L. Biskupek, F. Hofmann and E. Mai
Testing relativistic celestial mechanics with radio pulsars / N. Wex
Dragging of inertial frames, fundamental physics, and satellite laser ranging / I. Ciufolini and others
Atomic time, clocks, and clock comparisons in relativistic spacetime: a review / G. Petit, P. Wolf, P. Delva.

With a wide range of prominent authors from the field of relativistic celestial mechanics, this first volume of a two-volume series consists of reviews on a multitude of advanced topics in the area, covering both classical as well as modern developments, while focusing on applications and experiments. On the occasion of his 80-th birthday this volume honors V.A. Brumberg - one of the pioneers in modern relativistic celestial mechanics

With a wide range of prominent authors from the field of relativistic celestial mechanics, this first volume of a two-volume series consists of reviews on a multitude of advanced topics in the area, covering both classical as well as modern developments, while focusing on theoretical foundations. On the occasion of his 80-th birthday this volume honors V. A. Brumberg one of the pioneers in modern relativistic celestial mechanics.

2020-01-03