The Motion of the Earth-Moon System Between 1700 and 2100 IN Newcomb's Theory and in Jpl-Ephemerides

Details The Motion of the Earth-Moon System Between 1700 and 2100 IN Newcomb's Theory and in Jpl-Ephemerides The Motion of the Earth-Moon System Between 1700 and 2100 IN Newcomb's Theory and in Jpl-Ephemerides

Aug 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981a%26a...101...52s&link_type=abstract

Astronomy and Astrophysics, vol. 101, 52-71. Article.

Astronomy and Astrophysics

Astrophysics

7

Motion, Celestial Mechanics, Earth-Moon System, Ephemeris, Data, Precession, Perturbations, Orbits, Radius, Latitudes, Analysis, Mathematical Models, Theoretical Studies, Harmonics, Procedure, Techniques

Scientific paper

The motion of the barycenter (EMB) in Newcomb's (1898) theory is compared with the JPL ephemerides DE102 (relativistic) and DE28 (newtonian) within the 400-year interval 1700-2100. In the analysis, both the conventional and the new (IAU, 1976) precession theories are applied. Newcomb's periodic perturbations are corrected by least-square methods, and additional periodic terms are obtained by harmonic analysis. With Newcomb's theory modified in this manner, corrections to all orbital elements are determined, including secular terms in T and T2. The final residuals are ≤ 0".05 within the entire 400-year interval.
It is shown that the instantaneous mean orbital plane of the DE102 deviates from the IAU ecliptic by a small amount which is nearly constant during the 400 years; it corresponds to a change in obliquity of ˜ 0".04 and to an equinox correction of ˜0".12.
For the newtonian, inertial portion of Newcomb's perihelion motion, the sane correction (+1".11 per century) is obtained from both ephemerides if one takes into account the different masses in the ephemerides, and employs the theoretical relativity effect (+3".84 per century) and Bretagnon's value +6".56 per century) for the secular lunar perturbation (instead of Newcomb's value +7".68).
The DE102 in connection with the IAU 1976 precession requires the correction ΔL=-0".235+l".081T+0".039T2 to Newcomb's expression for the mean longitude.

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