CCD star images - On the determination of Moffat's PSF shape parameters

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Photometry, Charge Coupled Devices, Image Analysis, Point Spread Functions, Approximation, Astronomical Models, Integral Equations, Stellar Luminosity

Scientific paper

The problem of obtaining simultaneous estimates of Moffat's (1969) point spread function (PSF) shape parameters, the off-centering parameter, and the background level in CCD star images is considered. An approximate means of determining all the parameters except off-centering is presented. It is noted that Moffat's PSF model is a softened power law belonging to the family of modified King (1971) and Hubble models. An integral equation making it possible to convolve a spherical source with Moffat's PSF has been obtained and is applied to a multi-Gaussian convolution.

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