NOW COMES THE QUESTION:
!!!!!!!EDITED 5-3-03!!!!!
In my research of the Airy disk formula, I noted numerous well-regarded astronomy references and several websites that have published astronomy related formulae referring to a shortened form of the formula for calculating the Airy disk radius. That shortened form in all cases was given as A = 1.22/D where it is stated that A = arcsec and D = scope diameter in meters.
This has been proven to be innaccurate. The correct formula is theta = 1.22 lambda/D. This formula does provide results for the radius of the Airy disk in radians that must be converted to arcseconds. The results are nearly equivalent to the results one would get using Rayleigh criteria as 5.45/D.
Numerous reference books and websites, some by noted authors, have explanations for Dawes Limit, Rayleigh Limit and how these relate to Airy disk. Many of these references are incorrect.
An excellent source is http://www.licha.de/AstroWeb/articles_fullsize.php3?iHowTo=16
Neither Dawes nor Rayleigh indicates a condition where two stars are completely separated. Rayleigh indicates somewhat greater separation than Dawes. Neither is equivalent to the diameter of the Airy disk.
The distance between the centers of two point sources that appear completely separated needs to be at least twice the value determined by the wavelength formula. This would be approximately equal to twice the value determined by the Rayleigh Limit formula 5.45/D.
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Ed Zarenski
Cumberland, RI