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bandcentral wavelengthextinction (mag per airmass)seeing degradation compared to r band at zenith 
u350 nm0.40*a(1.1)*a0.6 
g450 nm0.18*a(1.07)*a0.6 
r650 nm0.10*a(1.0)*a0.6 
i750 nm0.08*a(0.97)*a0.6 
z850 nm0.05*a(0.94)*a0.6 
y1000 nm0.04*a(0.91)*a0.6 

 

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plot of seeing degradation vs. airmass, and polynomial fit:

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Decent approximation to seeing degradation vs. airmass a is

S=0.35+0.72a^2-0.07a

Signal to Noise degradation vs. airmass:

SNR scales as source flux in the numerator and (for unresolved objects) as seeing in the denominator. Flux at an airmass "a" is reduced by a factor f(a)=10^(x*(a-1)/2.5) where x is the extinction coefficient listed in the table above. So SNR vs. airmass at fixed exposure time for unresolved point sources scales as SNR(a)~10^(x*(a-1)/2.5)/(0.35+0.72a^2-0.07a)

 

Some references

LSST science book

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