Theoretical studies of the effects of grain noise on photographic stellar astrometry and photometry

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Astrometry, Astronomical Photography, Astronomical Photometry, Stellar Magnitude, Accuracy, Algorithms, Curve Fitting, Microdensitometers, Photographic Plates, Position (Location)

Scientific paper

A method of incorporating the effects of photographic emulsion grain noise into digital image centering algorithms is presented which improves the accuracy of the derived stellar positions and magnitudes. Theoretical formulae are then derived for the limiting error of the center, and the photometric parameters. For IIIa-J, this error is 0.2-0.3 mu for bright unsaturated images, which agrees quite well with measurements made with the Yale PDS microdensitometer. It is expected that, with further improvements in the positional accuracy of the PDS, it should be possible to reach the emulsion grain noise limit, providing that emulsion shifts or other large scale errors do not dominate. It is also shown that, with appropriate trimming, marginal distribution image centering algorithms can yield an accuracy only slightly poorer than that obtained with two-dimensional distributions.

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