Accuracy of the average of star positions obtained from overlapping plates

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrometry, Photographic Plates, Position Errors, Star Distribution, Astronomical Photography, Optical Correction Procedure, Photogrammetry, Position (Location), Reference Stars, Stochastic Processes

Scientific paper

An analytic expression is derived that gives the accuracy of star positions computed as the average of the positions taken from overlapping plates. The variance of such a position is given by the sum of two terms, a stochastic term corresponding to the measurements on the plate and a local systematic term that is introduced by the errors of the plate constants. This second term decreases slowly down to a nonvanishing limit with an increasing number of overlapping plates. For some visual arrangements of plates graphics are computed for direct use.

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