Mathematics
Scientific paper
Oct 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974moon...11..101f&link_type=abstract
The Moon, vol. 11, Sept.-Oct. 1974, p. 101-111. In French.
Mathematics
1
Astronomical Catalogs, Lunar Craters, Lunar Maps, Spherical Harmonics, Algorithms, Computer Techniques, Legendre Functions, Matrices (Mathematics), Normal Density Functions, Random Errors
Scientific paper
The systematic part of the differences between positions in crater catalogs is expanded into spherical harmonics. The application of the chi-squared test determines the highest order of the expansion. The method was applied to compare the Arthur System with the Schrutka-Rechtenstamm and Gavrilov catalogs. The surfaces f(l, b) of systematic differences from these catalogs were obtained. The central zone of the near side of the moon is well determined, but the marginal zone presents systematic differences that can be as large as one kilometer.-
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