Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006iaujd..16e..16k&link_type=abstract
Nomenclature, Precession and New Models in Fundamental Astronomy, 26th meeting of the IAU, Joint Discussion 16, 22-23 August 200
Astronomy and Astrophysics
Astronomy
Scientific paper
By using a new method of spectral analysis of an arbitrary tabulated function of Sun/Moon/planets coordinates to Poisson series [1] we made accurate harmonic development of modern numerical lunar ephemeris LE-405/406 [2]. Spherical lunar coordinates r (geocentric distance), V (ecliptic longitude) and U (ecliptic latitude) are represented by Poisson series in the form used by analytical theories of lunar motion [3, 4]. The complete solution LEA-406a includes 42270 terms of minimal amplitude equivalent to 1 cm and is valid over 1500 - 2500. The simplified solution LEA-406b includes 7952 terms of minimal amplitude equivalent to 1 m and is valid over 3000AD - 3000BC. The maximum difference in lunar coordinates r, V, U calculated by means of the analytical development LEA-406a and numerical ephemeris LE-405/406 is respectively 1.7 m, 0.″0038, 0.″0013 over 1900-2100, and 3.2 m, 0.″0056, 0.″0018 over 1500-2500. Over 3000BC-3000AD the maximum difference in r, V, U calculated by means of LEA-406b and LE-406 is respectively 0.20 km, 0.″42 and 0.″33. This is better than accuracy of the modern analytical theory of lunar motion ELP/MPP02 [4] (in particular, over 1500-2500 the gain in accuracy is from a factor of 9 to a factor of 70 depending on the coordinate). The number of terms in series LEA-406a,-b is less than that in ELP/MPP02. The work is supported in part by grant 05-02-16436 from the Russian Foundation for Basic Research.
References: 1. Kudryavtsev S.M., In: Astronomical data analysis software and systems XIV (Shopbell P.L., Britton M.C., Ebert R., eds.), ASP Conference series, 347, 133-137 (2005) 2. Standish E.M., JPL IOM 312.F-98-048, Pasadena (1998) 3. Chapront-Touzé M., Chapront J., Astron. Astrophys., 124, 50-62 (1983) 4. Chapront J., Francou G., Astron. Astrophys., 404, 735-742 (2003)
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