On the relationship between conventional and overlap reduction techniques in positional astronomy

Details On the relationship between conventional and overlap reduction techniques in positional astronomy On the relationship between conventional and overlap reduction techniques in positional astronomy

Jan 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992a%26a...253..307b&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 253, no. 1, Jan. 1992, p. 307-310. Research supported by Observatoire de Borde

Astronomy and Astrophysics

Astrophysics

22

Astrometry, Iteration, Convergence, Jacobi Matrix Method

Scientific paper

In this paper the familiar night-to-night or plate-to-plate reduction of astrometric observations, if iterated after removal of mean-star residuals, is equivalent to the more sophisticated overlap reduction. As an example, the reduction of a meridian circle differential program in right ascension is considered in detail. It is shown that the iteration is convergent even in the present case, where the Jacobian matrix is rank deficient. Practical means to deal with the indeterminacy which arises from the singularity are outlined.

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