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Relativistic Celestial Mechanics and Reference Frames

Published online by Cambridge University Press:  12 April 2016

T. Damour ,
M. Soffel  and
C. Xu
T. Damour
Affiliation:
Institut des Hautes Etudes Scientifiques, 91440 Bures sur Yvette, Franceand Département d’Astrophysique Relativiste et de Cosmologie, Observatoire de Paris - Centre National de la Recherche Scientifique, 92195 Meudon Cedex, France
M. Soffel
Affiliation:
Theoretische Astrophysik, Universität Tübingen, Auf der Morgenstelle 10, 7400 Tübingen, FRG
C. Xu
Affiliation:
Theoretische Astrophysik, Universität Tübingen, Auf der Morgenstelle 10, 7400 Tübingen, FRG

Abstract

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A 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”).

Type
Part 1. Oral Papers
Information
International Astronomical Union Colloquium , Volume 127: Reference Systems , 1991 , pp. 50 - 62
Copyright
Copyright © United States Naval Observatory 1991

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