Finding the angular resolution of a telescope

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SUMMARY

The discussion focuses on calculating the angular resolution of an optical telescope with a diameter of 1.5 meters, using the formula Theta = 1.22 * (wavelength / diameter). The wavelength used for calculations is 1000nm, resulting in an angular resolution of 0.167 arcseconds. The concept of 'seeing' is introduced, defined as the atmospheric conditions affecting resolution, which must be considered alongside the telescope's inherent resolution for accurate results.

PREREQUISITES
  • Understanding of angular resolution in optics
  • Familiarity with the formula Theta = 1.22 * (wavelength / diameter)
  • Knowledge of arcseconds and their conversion from radians
  • Basic concepts of atmospheric seeing and its impact on telescope performance
NEXT STEPS
  • Research the effects of atmospheric seeing on telescope resolution
  • Explore advanced optical telescope design principles
  • Learn about different wavelengths and their impact on resolution
  • Investigate methods to mitigate seeing effects in astronomical observations
USEFUL FOR

Astronomy students, optical engineers, and amateur astronomers interested in understanding and improving telescope performance and resolution.

Kieran12
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Homework Statement



An optical telescope has a diameter of 1.5m. It is placed at a site with 'seeing' of 1.0''. What is the expected resolution in arcseconds from observations made with the telescope at 1000nm? Give your answer to one decimal place

Homework Equations



Theta (rads) = 1.22 * (wavelength/diametre of aperture)

Rads * 180/pi = degrees

1 degree = 1*60*60 arcseconds

The Attempt at a Solution



So far, I have used the equation:

Theta = 1.22 * (wavelength / D) (where D = diametre of aperture).

Thus using this equation I have worked out that: 1.22 * (1000 * 10-9 / 1.5) = 813.33 * 10-9 rads = 0.167 arcseconds.

Where does seeing come into all this?? Its driving me mad!
 
Physics news on Phys.org
Do you know how seeing is defined?

Both seeing and the telescope resolution will influence the angular resolution, unless one is negligible it is probably reasonable to combine their effects.
 

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