scholarly journals Present problems in relativistic Celestial Mechanics

1986 ◽  
Vol 114 ◽  
pp. 5-17
Author(s):  
V. A. Brumberg
Keyword(s):  
Time Scales ◽  
Celestial Mechanics ◽  
Reference Frames ◽  
Artificial Satellite ◽  
Circular Motion ◽  
Newtonian Approximation ◽  
Satellite Problem ◽  
Solar Perturbations ◽  
Coordinate Functions ◽  
Schwarzschild Problem

Review of the present problems of relativistic celestial mechanics. Advantage is taken of the method suggested earlier by the author and based on using quasi-Galilean coordinates with arbitrary coordinate functions or parameters. As compared with the previous papers the new elements are post-post-Newtonian approximation for the circular motion in the Schwarzschild problem and reduction of the artificial satellite problem including the main solar perturbations to the Schwarzschild problem. Some current questions of time scales definitions, reference frames and reduction of observations are briefly discussed.

scholarly journals Relativistic Celestial Mechanics and Reference Frames

1991 ◽  
Vol 127 ◽  
pp. 50-62 ◽  
Author(s):  
T. Damour ◽  
M. Soffel ◽  
C. Xu
Keyword(s):  
Celestial Mechanics ◽  
Reference Frames ◽  
Global Dynamics ◽  
Reference Systems ◽  
New Formalism ◽  
External Problem ◽  
Newtonian Approximation ◽  
Internal Problem ◽  
The Way

AbstractA new formalism for treating the relativistic celestial mechanics of systems of N, arbitrarily composed and shaped, weakly self-gravitating, rotating, deformabile bodies is presented. This formalism is aimed at yielding a complete description, at the first post-Newtonian approximation level, of (i) the global dynamics of such N-body systems (“external problem”), (ii) the local gravitational structure of each body (“internal problem”), and, (iii) the way the external and the internal problems fit together (“theory of reference systems”).

scholarly journals Report of the BIPM/IAU Joint Committee on Relativity for Space-Time Reference Systems and Metrology

2000 ◽  
Vol 180 ◽  
pp. 275-282 ◽  
Author(s):  
G. Petit
Keyword(s):  
Solar System ◽  
Celestial Mechanics ◽  
Working Group ◽  
Reference Frames ◽  
Space Missions ◽  
Space Time ◽  
Reference Systems ◽  
Frequency Measurements ◽  
Consistent Treatment

AbstractThe BIPM/IAU Joint Committee on relativity for space-time reference systems and metrology (JCR) has worked in collaboration with the IAU Working Group on relativity for celestial mechanics and astrometry (RCMA) on the problems of astronomical relativistic space-time reference frames and the RCMA has proposed to the IAU a consistent framework for defining the barycentric and geocentric celestial reference systems at the first post-Newtonian level. Because new clock technology and space missions will necessitate the application of this framework for time and frequency measurements in the solar system, practical resolutions are proposed by the JCR to the IAU to allow a consistent treatment of these measurements. The paper outlines the conclusions of the work which resulted in the proposed IAU resolutions.

scholarly journals 7. Mécanique Céleste (Celestial Mechanics)

1991 ◽  
Vol 21 (1) ◽  
pp. 15-27 ◽  
Author(s):  
Jacques Henrard
Keyword(s):  
Celestial Mechanics ◽  
Computer Technology ◽  
Reference Frames ◽  
Inertial Coordinate System ◽  
Small Bodies ◽  
Term Evolution ◽  
Dynamical Astronomy ◽  
Virginia Beach ◽  
Study Institute

During 1988–1990 Commission 7 has sponsored or co-sponsored several IAU conferences: Colloquium No. 109 “Application of Computer Technology to Dynamical Astronomy” (Gaithersburg, July 1988), Symposium No. 141 “Inertial Coordinate System on the Sky” (Pulkovo, October 1989), Colloquium No. 127 “Reference Frames” (Virginia Beach, October 1990), Colloquium No. 132 “Instability, Chaos and Predictability in Celestial Mechanics and Stellar Systems” (Delhi, October 1990). The colloquium No. 118 “Dynamics of Small Bodies in the Solar System” which was to be held in Nanjing in June 1989 had unfortunately to be postponed then cancelled. Other meetings of interest to the members of Commission 7 were the 2nd Alexander von Humbolt Colloquium on “Long Term Evolution of Planetary Systems” (Ramsau, March 1988), the Colloquium “Asteroids, Comets, Meteors III” (Uppsala, June 1989), the colloquium “Mécanique Céleste et Systèmes Hamiltoniens” (Luminy, May 1990) and the NATO Advanced Study Institute on “Predictability, Stability and Chaos in N-Body Dynamical Systems” (Cortina d’Ampezzo, August 1990).

scholarly journals Secular Variations in Optical Observations of Planets: Summary

1992 ◽  
Vol 152 ◽  
pp. 49-51
Author(s):  
P. K. Seidelmann
Keyword(s):  
Time Scales ◽  
Reference System ◽  
Reference Frames ◽  
Optical Observations ◽  
Sidereal Time ◽  
Secular Variations ◽  
Precession Constant

The conversion in 1984 from constants, reference frames, time scales, and ephemerides, all essentially based on theories and constants by Newcomb, to the IAU 1976 system of constants, new definitions of time scales, FK5 reference system, and integrated ephemerides has produced the expected accuracy improvements. These changes included a correction to the precession constant of 1.13 arcseconds per century, a correction to the equinox motion of the FK4 of 1.23 arcseconds per century, and a new expression for the Greenwich Mean Sidereal time.

scholarly journals 7. Celestial Mechanics

1982 ◽  
Vol 18 (1) ◽  
pp. 21-32 ◽  
Author(s):  
Y Kozai ◽  
J. Kovalevsky ◽  
E. P. Aksenov ◽  
V. A. Brumberg ◽  
S. Ferraz-Mello ◽  
...  
Keyword(s):  
Celestial Mechanics ◽  
Artificial Satellite ◽  
Relativistic Effects ◽  
Natural Satellite ◽  
The Past ◽  
Previous Decade

In the past three years progress of celestial mechanics research was as rapid as in the previous decade. In fact now new theories of planetary and lunar motions which have nearly the same accuracy as those of the most precise observations have become available after a decade effort and new thories of some of natural satellite motions have been developed by several authors. Many papers on artificial satellite motions from several aspects were still published and more precise expressions for relativistic effects were derived.

scholarly journals General Relativity And The IAU Resolutions Report of the IAU WGAS Sub-Working Group on Relativity in Celestial Mechanics and Astrometry (RCMA SWG)

1998 ◽  
Vol 11 (1) ◽  
pp. 194-199
Author(s):  
V.A. Brumberg ◽  
P. Bretagnon ◽  
N. Capitaine ◽  
T. Damour ◽  
T.M. Eubanks ◽  
...  
Keyword(s):  
General Relativity ◽  
Time Scales ◽  
Celestial Mechanics ◽  
General Problem ◽  
Working Group ◽  
International System ◽  
Fundamental Astronomy ◽  
Astronomy Concepts ◽  
Relativistic Framework ◽  
Astronomical Constants

RCMA SWG was appointed by the IAU WGAS (Working Group on Astronomical Standards) in accordance with IAU Resolution C6 (1994) with the aim ‘to provide definitions of the astronomical units, of the quantities linking these astronomical units to the units of the International System (SI), and of other astronomical quantities, compatible with the theory of General Relativity’. It is evident that the relativistic aspects of units of measurement cannot be isolated from the more general problem of astronomical constants and fundamental astronomy concepts in the relativistic framework. Therefore, along with the problem of units the main topics of discussion of RCMA SWG concerned also the IAU (1991) Resolutions on References Systems (RSs) and Time Scales (TSs) and their interpretation in IERS Standards (1992) and IERS Conventions (1996). In what follows we tried to summarize the results of these discussions.

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