Computer Science – Numerical Analysis
Scientific paper
Apr 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980a%26a....84..251s&link_type=abstract
Astronomy and Astrophysics, vol. 84, no. 1-2, Apr. 1980, p. 251-256.
Computer Science
Numerical Analysis
2
Astronomical Catalogs, Numerical Analysis, Stellar Magnitude, Stellar Motions, Correlation, Error Analysis, Southern Hemisphere, Spherical Harmonics, Star Distribution
Scientific paper
While the FK4 stars are fairly uniformly distributed on the sky, their magnitude distribution is an uneven one. The dominating feature is the milky way in which the average magnitude of FK4 stars exceeds the mean magnitude of the FK4 by -1m.3. If the FK 4 system is affected by systematic errors depending on the magnitudes of the stars, then one should find such errors in the milky way regions. For a test, the systematic relations between the right ascension system of the FK 4 and those of the Santiago-Pulkovo catalogues SPF 1, SPF 2, SPF 3 and the Second Cape Catalogue for 1950.0 are derived. For that purpose a method was used which allows one to determine a dependence of the systematic differences simultaneously on α, σ, and on the magnitude. The results are given as far as they concern magnitude equations. A dependence of the magnitude equation is found for all the catalogues except the SPF 3. This correlation corresponds to the inhomogeneous distribution of the FK 4 magnitudes in many details. Interpreting the magnitude equation as an effect produced by systematic errors Δμm cos δ of the FK4 proper motion system in right ascension, one derives values of Δμm cos δ up to 0s.018 cy-1 mag-1 for some milky way regions.
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