The dominant relativistic terms in the lunar theory

Details The dominant relativistic terms in the lunar theory The dominant relativistic terms in the lunar theory

Mar 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986a%26a...157..357s&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 157, no. 2, March 1986, p. 357-364.

Astronomy and Astrophysics

Astronomy

9

Earth-Moon System, Lunar Effects, Sun, Three Body Problem, Equations Of Motion, Laser Range Finders, Lunar Rangefinding, Relativity, Moon, Theoretical Studies, Coordinates, Three-Body Problem, Motion, Astronomy, Celestial Mechanics, Calculations, Procedure, Techniques, Laser Methods, Laser Ranging, Earth-Moon-Sun System

Scientific paper

In the present paper the transition from the frame induced by the Einstein-Infeld-Hoffmann (EIH) coordinate system to a proper reference frame moving with the Earth-Moon barycenter is discussed in a simplified 3-body (Earth, Moon, Sun) problem. It is explicitly demonstrated how for this case the EIH-equations of motion reduce to the Jacobi-equations (equations of geodesic deviation) after the transformation to the proper reference frame. The authors then proceed with a Hill-Brown calculation for the dominant relativistic terms in the lunar laser ranging observables in the proper reference frame. For this simplified problem it is shown that in this frame all post-Newtonian terms are proportional to m = n'/(n-n') [n(n') = mean motion of Moon (Sun)] describing the solar influence upon the coupling strength of the Earth-Moon system and consequently all m-independent terms in the lunar EIH-coordinate motion have to be considered as relics from the heliocentric notion of simultaneity used in this coordinate picture.

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