Celestial mechanics: Testing Solar System stability

Nature ◽  
1986 ◽  
Vol 319 (6052) ◽  
pp. 359-360 ◽  
Author(s):  
P.J. Message
Keyword(s):  
Solar System ◽  
Celestial Mechanics ◽  
System Stability

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 The Motions of Uranus' Satellites: Theory and Application

1979 ◽  
Vol 81 ◽  
pp. 177-180
Author(s):  
Richard Greenberg
Keyword(s):  
Solar System ◽  
Physical Properties ◽  
Celestial Mechanics ◽  
Dynamical Theory ◽  
System Study ◽  
Broad Application ◽  
Origin And Evolution ◽  
Structure And Dynamics ◽  
Principal Source ◽  
Planets And Satellites

As spacecraft and sophisticated ground-based observations measure physical properties of many planets and satellites, dynamical theory and astrometry remain a principal source of such knowledge of the Uranian system. Study of the motions of Uranus' satellites thus has broad application to planetary studies as well as to celestial mechanics. Moreover, the structure and dynamics of the system provide important cosmogonical constraints; any theory of solar system origin and evolution must account for the formation within it of analogous systems of regular satellites.

scholarly journals On the foundations of general relativistic celestial mechanics

2017 ◽  
Vol 32 (26) ◽  
pp. 1730022 ◽  
Author(s):  
Emmanuele Battista ◽  
Giampiero Esposito ◽  
Simone Dell’Agnello
Keyword(s):  
General Relativity ◽  
Solar System ◽  
Celestial Mechanics ◽  
Body Problem ◽  
Equations Of Motion ◽  
Modern Science ◽  
N Body Problem ◽  
General Relativistic ◽  
New Perspective ◽  
Three Body

Towards the end of nineteenth century, Celestial Mechanics provided the most powerful tools to test Newtonian gravity in the solar system and also led to the discovery of chaos in modern science. Nowadays, in light of general relativity, Celestial Mechanics leads to a new perspective on the motion of satellites and planets. The reader is here introduced to the modern formulation of the problem of motion, following what the leaders in the field have been teaching since the nineties, in particular, the use of a global chart for the overall dynamics of N bodies and N local charts describing the internal dynamics of each body. The next logical step studies in detail how to split the N-body problem into two sub-problems concerning the internal and external dynamics, how to achieve the effacement properties that would allow a decoupling of the two sub-problems, how to define external-potential-effacing coordinates and how to generalize the Newtonian multipole and tidal moments. The review paper ends with an assessment of the nonlocal equations of motion obtained within such a framework, a description of the modifications induced by general relativity on the theoretical analysis of the Newtonian three-body problem, and a mention of the potentialities of the analysis of solar-system metric data carried out with the Planetary Ephemeris Program.

Relativistic Celestial Mechanics of the Solar System

2011 ◽  
Author(s):  
Sergei Kopeikin ◽  
Michael Efroimsky ◽  
George Kaplan
Keyword(s):  
Solar System ◽  
Celestial Mechanics

7 - Mecanique Celeste (Celestial Mechanics)

1988 ◽  
Vol 20 (1) ◽  
pp. 15-28
Author(s):  
V. A. Brumberg ◽  
J. Henrard ◽  
Ju. V. Batrakov ◽  
K. B. Bhatnagar ◽  
J. Chapront ◽  
...  
Keyword(s):  
Solar System ◽  
Celestial Mechanics ◽  
Body Problem ◽  
Dynamical Behaviour ◽  
General Assembly ◽  
Computational Techniques ◽  
New Delhi ◽  
Study Institute ◽  
European Regional

During 1985-1987 Celestial Mechanics has been intensively developed in all its branches embracing physical bases, mathematical aspects, computational techniques and astronomical objectives. Commission 7 has organized three IAU conferences: Symposium No. 114 “Relativity in Celestial Mechanics and Astrometry” (Leningrad, May 1985), Colloquium No. 96 “The Few Body Problem” (Turku, June 1987) and Topical Session “Resonances in the Solar System” of the X-th European Regional Astronomy Meeting (Prague, August 1987). Members of the commission have broadly participated in the NATO Advanced Study Institute “Long-Term Dynamical Behaviour of Natural and Artificial N-Body Systems” (Cortina d’Ampezzo, August 1987) and some other international and regional conferences. Prospects of the actual celestial mechanics investigations have been discussed at a session of Commission 7 at the XIX-th IAU General Assembly (New Delhi, November 1985). Three papers dealing with the unsolved problems of celestial mechanics were primarily addressed to the rising generation of celestial mechanicians (V. A. Brumberg and J. Kovalevsky, CM. 39, 133, 1986; P.K. Seidelmann, CM. 39, 141, 1986).

Unsolved Problems of Celestial Mechanics ? The Solar System

1986 ◽  
Vol 39 (2) ◽  
pp. 141-146 ◽  
Author(s):  
P. K. Seidelmann
Keyword(s):  
Solar System ◽  
Celestial Mechanics
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