Statistics – Computation
Scientific paper
Sep 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992a%26a...262..613m&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 262, no. 2, p. 613-616.
Statistics
Computation
10
Analytic Functions, Numerical Integration, Planet Ephemerides, Secular Variations, Selenology, Astronomical Models, Computational Astrophysics, Planetology
Scientific paper
A numerical integration on the JPL DE200 model of Newhall et al. (1983) is compared to a medium-accuracy version of the Chapronts' (1988) ELP 2000-85 Lunar theory from 5000 B.C. to the present. According to this continuation of the DE200, the Chapronts' moon is much closer to the LE200 moon than their own comparison to the DE102/LE51 moon suggested. (This does not imply, however, that anything is wrong with the LE51 or the theory.) Small drifts of order t exp 4 are noted in both the longitude and the perigee. After adjusting for the drifts and for four oscillatory terms not present in the theory, the rms difference near 5000 B.C. is 2.3 arcsec, compared to 1.1 arcsec in modern times. The fit at remote epochs is much improved by including secular phase shifts in the time-varying and planetary arguments of the theory, especially those that involve the moon's mean anomaly.
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