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On the dominant relativistic terms in the lunar theory

Published online by Cambridge University Press:  04 August 2017

M. Soffel ,
H. Ruder  and
M. Schneider
M. Soffel
Affiliation:
Lehrstuhl fuer Theoretische Astrophysik, Auf der Morgenstelle 12, 7400 Tuebingen, FRG SFB78, Technische Universitaet Muenchen, Muenchen, FRG
H. Ruder
Affiliation:
Lehrstuhl fuer Theoretische Astrophysik, Auf der Morgenstelle 12, 7400 Tuebingen, FRG
M. Schneider
Affiliation:
SFB78, Technische Universitaet Muenchen, Muenchen, FRG

Abstract

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For a simplified 3-body (Earth, Moon, Sun) problem it is shown how the usual Einstein-Infeld-Hoffmann equations for the lunar motion reduce to the Jacobi-equations after the transformation to the proper reference frame. The dominant relativistic contributions to the lunar laser ranging observables are then obtained in a Hill-Brown calculation. It is argued that in the proper reference frame all post-Newtonian variational terms are proportional to m = n′/(n-n′) [n(n′) = mean motion of Moon (Sun)].

Type
Dynamical Effects in General Relativity
Information
Symposium - International Astronomical Union , Volume 114: Relativity in Celestial Mechanics and Astrometry , 1986 , pp. 53 - 57
Copyright
Copyright © Reidel 1986 

References

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