Image Resolution Calculator Formula
Understand the math behind the image resolution calculator. Each variable explained with a worked example.
Formulas Used
Dawes Limit
dawes_limit = 116 / apertureRayleigh Limit (550nm)
rayleigh_limit = 138.4 / apertureVariables
| Variable | Description | Default |
|---|---|---|
aperture | Aperture Diameter(mm) | 200 |
How It Works
Telescope Image Resolution
The resolving power of a telescope is limited by diffraction at the aperture.
Dawes Limit
theta = 116 / D
where D is in mm. This empirical limit gives the smallest angular separation at which two equal stars can be distinguished.
Rayleigh Criterion
theta = 1.22 * lambda / D
At 550 nm this is 138.4 / D arcseconds.
Worked Example
200 mm aperture telescope.
- 01Dawes limit = 116 / 200 = 0.58 arcsec
- 02Rayleigh limit = 138.4 / 200 = 0.692 arcsec
Frequently Asked Questions
Does atmospheric seeing limit resolution?
Yes. At most sites, seeing limits resolution to about 1 to 3 arcseconds, regardless of aperture. Adaptive optics or space telescopes can overcome this.
What is the difference between Dawes and Rayleigh limits?
The Dawes limit is an empirical rule for equal-brightness star pairs. The Rayleigh criterion is a theoretical diffraction limit. Dawes is slightly more optimistic.
Does magnification affect resolution?
No. Magnification enlarges the image but cannot reveal detail beyond the diffraction limit. Over-magnifying just makes a blurry image bigger.
Ready to run the numbers?
Open Image Resolution Calculator