Calculating Satellite Aperture Radius

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SUMMARY

The discussion centers on calculating the aperture radius required for a satellite lens to resolve a human face from an altitude of 100 km, using a wavelength (λ) of 600 nm. The key equation utilized is θ = 1.22 (λ/D), where θ represents angular resolution and D is the aperture diameter. Participants emphasize the need to estimate angular resolution based on the satellite's distance and the typical size of a human head. The challenge lies in determining D without a known value for θ, leading to suggestions for estimating angular resolution.

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  • Understanding of angular resolution in optics
  • Familiarity with satellite orbit mechanics
  • Basic knowledge of wavelength and its impact on imaging
  • Proficiency in algebraic manipulation of equations
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  • Learn about satellite imaging techniques and their requirements
  • Explore the relationship between aperture size and resolution
  • Investigate the effects of altitude on satellite imaging capabilities
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Students in physics or engineering, optical engineers, satellite imaging specialists, and anyone interested in the practical applications of optics in satellite technology.

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Homework Statement


Estimate (in the order of magnitude) the size of a satellite lens (aperture radius) required to resolve a human face at the surface of the Earth if the satellite is orbiting at an altitude of 100km. Assume λ to be 600nm.

Homework Equations


θ = 1.22 (λ/D)

The Attempt at a Solution


I feel like this should be a really simple problem but I've been struggling with it for a while now. I want to find D, but I don't have the angular resolution, θ, either. Should I estimate it? There's another equation, θ = (h/D)k but it still has D in it. I also can't figure out how to take into account the altitude distance. If someone could help me out it'd be much appreciated.
 
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You'll have to estimate the required angular resolution given the satellite distance and a typical head :smile:
 

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