Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-25T16:10:33.751Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

Baierlein, R., 1967, Phys. Rev. 162, 1275 CrossRefGoogle Scholar
Brumberg, V.A., 1958, Bull. Inst. Theor. Astron.(USSR) 6, 733 see e.g. Brumberg, V.A., 1981, in “Reference Coordinate Systems for Earth Dynamics”, ed. by Gaposchkin, E. M., Kolaczek, B., Reidel, Dordrecht Mashhoon, B., 1985, “Gravitational Effects of Rotating Masses”, to appear in Found. of Physics Google Scholar
Moyer, T., 1981, Celestial Mechanics 23, 33 and 57 CrossRefGoogle Scholar
Nordtvedt, K. Jr., 1973, Phys. Rev. D7, 2347 Google Scholar
Pirani, F.A., 1957, Bull. Acad. Polon. Sci. 5, 143 Google Scholar
Synge, J.L., 1960, “Relativity: The General Theory”, North-Holland, Amsterdam Google Scholar