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One thing for sure is that 2x2 binning will make the stars larger. Check the FWHM of 1x1 versus 2x2. On the other hand if you only want to smooth out background where there is no real detail it seems the extra SNR of 2x2 could be useful.
Also binning is less of an issue with a smaller pixelled camera in terms of resolution loss.
All 1x1 though implies longer total exposure time for the same SNR. Something not everyone can get.
Greg.
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