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2. Conversion <strong>of</strong> Radiance to Temperature<br />

ETM+ Band 6 imagery can also be converted from spectral radiance (as described above) to a more<br />

physically useful variable. <strong>Th<strong>is</strong></strong> <strong>is</strong> the effective at-satellite temperature <strong>of</strong> the viewed Earthatmosphere<br />

system under an assumption <strong>of</strong> unity em<strong>is</strong>sivity and using pre-launch calibration<br />

constants l<strong>is</strong>ted in Table 2. The conversion formula <strong>is</strong>:<br />

K 2<br />

T =<br />

⎛ K2<br />

⎞<br />

ln⎜<br />

⎟<br />

⎜<br />

+ 1<br />

⎟<br />

⎝ Lλ<br />

⎠<br />

Where:<br />

T = Effective at-satellite temperature in Kelvin<br />

K2 = Calibration constant 2 from Table 2<br />

K1 = Calibration constant 1 from Table 2<br />

L λ = Spectral radiance in watts/(meter squared * ster * μm)<br />

Table 2. ETM+ Thermal Constants and Constant Value Units<br />

K1 666.09 W m -2 ster -1 μm -1<br />

K2 1282.71 °K<br />

- 4 -<br />

(3)

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