How to calculate the amount of light a telescope collects?

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SUMMARY

The discussion focuses on calculating the amount of light collected by a telescope compared to the human eye. It establishes that the diameter of the telescope is 8 inches, which is approximately 203.2 mm, and the pupil of the unaided eye measures 6.4 mm. The calculation involves determining the area of both apertures using the formula for the area of a circle (A = πr²) and comparing these areas to quantify the difference in light collection capability.

PREREQUISITES
  • Understanding of basic geometry, specifically the area of a circle.
  • Familiarity with telescope specifications, particularly aperture size.
  • Knowledge of light collection principles in optics.
  • Basic mathematical skills for performing area calculations.
NEXT STEPS
  • Learn how to calculate the area of a circle using the formula A = πr².
  • Research the impact of aperture size on telescope performance.
  • Explore the relationship between light gathering power and astronomical observation.
  • Investigate different types of telescopes and their respective apertures.
USEFUL FOR

Astronomy enthusiasts, amateur astronomers, and anyone interested in understanding the optical performance of telescopes compared to the human eye.

JoAstro
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Having the unaided eye's pupil to be 6.4mm and the diameter of a telescope 8-inches, how can I calculate the amount of light the a scope collects over the human eye?
 
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Calculate the area of each aperture. It's just the area of a circle. Then compare the area of the eye's pupil to the area of the telescope's aperture.
 

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