Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974mnras.169..133w&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 169, Oct. 1974, p. 133-145.
Astronomy and Astrophysics
Astronomy
Astronomical Catalogs, Celestial Geodesy, Error Analysis, Reference Stars, Satellite Observation, Astrometry, Correlation, Harmonic Analysis, Least Squares Method, Root-Mean-Square Errors
Scientific paper
It has been suggested by Eichhorn (1970) that photographic observations of satellites be used to determine corrections to fundamental star catalogs. In 1972, Williams established theoretically a covariance matrix in two dimensions which gave important information on the accuracy and correlations of a least squares adjustment which calculated these corrections together with the parameters describing the shape of the earth. Here, the effect of a range of observational errors in distance and right ascension is included. One of the important results shows that as the accuracy of the distance determinations becomes at least an order of magnitude better than that of the right ascensions, the correlations become extremely small, but high correlations exist between errors in the star catalogs and the parameters describing the shape of the earth.
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