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Limit Magnitudes

Typical limit magnitude for point sources


Filter Seconds to reach the indicated magnitude at 5 sigma with 0.8" seeing
17 18 19 20 21 22 23
Y 0.2 1 7 44 280 1757 ...
Z ... 0.5 4 22 140 872 5500
J 0.5 3 20 128 810 5100 ...
H 3 14 90 571 3600 ... ...
K 7 42 268 1694 >10000 ... ...

Filter Seconds to reach precision photometry at the indicated magnitude (S/N=100, 0.6" seeing)
17 18 19 20
Y 40 250 1574 ...
Z 20 124 781 4900
J 115 726 4580 ...
H 511 3228 ... ...
K 1517 ~10000 ... ...

Signal to Noise Ratio Calculations

The theory behind the signal to noise behaviour of aperture photometry from IR imaging cameras can be found here.

The situation can be simplified under the following assumptions:

  • Background limited - The poisson noise from the sky is much greater than the readnoise of the detector

  • Low Dark current - The counts from the sky are much greater than the counts from the detector dark current

  • Apperture size - The sky aperture is much larger than the object aperture

into two cases, depending on whether the object contributes significantly more or less light into the object aperture than the sky background.

In addition, you should note that signal to noise ratio is inversely proportional to the square root of your object apperture area.

Faint Objects

When the object is much fainter than the sky, the achieved signal to noise ratio is proportional to the square root of integration time, proportional to the flux of the object and inversely proportional to the square root of the sky flux.

Bright Objects

When the object is much brighter than the sky, the achieved signal to noise ratio is proportional to the square root of integration time and proportional to the square root of the flux from the object.


Contact: Luca Rizzi. Updated: Fri Jul 27 15:34:05 HST 2007

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