Dawes' limit

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Image:Airydisks dawes sqrt.png

Dawes' limit is a formula to express the maximum resolving power of a microscope or telescope. It is so named after its discoverer, William Rutter Dawes

,Dawes, W.R., Catalogue of Micrometrical Measurements of Double Stars.

In: Memoirs of the Royal Astronomical Society, Vol. 35, p.137 1867, {{bibcode|1867MmRAS..35..137D}} although it is also credited to Lord Rayleigh.

The formula takes different forms depending on the units.

|R = 4.56/DD in inches, R in arcseconds
|R = 116/DD in millimeters, R in arcseconds
|whereD is the diameter of the main lens (aperture)
|R is the resolving power of the instrument

This formula agrees with the usual

R = 1.22 \lambda/D at a wavelength of about 460nm, somewhat bluer than the peak sensitivity of rod cells at c. 498nm.

See also

References

{{Reflist|refs=

{{cite news

| url = https://www.skyandtelescope.com/observing/pushing-limits-a-spring-sky-double-star-romp/

| title = Pushing Limits: A Spring Sky Double Star Romp

| work = Sky and Telescope magazine

| author = Bob King

| date = 2017-03-01

| archiveurl =

| archivedate =

| accessdate = 2020-02-12

| quote = The most stringent test of telescopic resolution uses the criteria of Dawes' limit given by the equation R = 4.56/D, where R is the resolution in arcseconds and D is the telescope's aperture in inches.

}}

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Category:Optics

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