I'm trying to calculate the maximum heat that an object on the moon can reach with the energy provided from Sunlight. I've got a total power output of the sun per square meter at the distance of the Earth at 1366.1 W/m^2. With 54% of that power being in Infrared, that gives me 737.7 W/m^2 of Infrared radiation.
The object I was calculating for has a reflectivity of 95%, so that gives around 36.9 W/m^2.
I substituted this value into j in a rearranged Stephan-Boltzmann law ( ⁴√(j/ϵ𝝈) )to give me a temperature of T, and T to be equal to 64.73 degrees C.
Am I correct in thinking that the emissivity in that calculation would cancel out the effects of the reflectivity in calculating the input power, so no matter the reflectivity of the object, it would still reach the same total temperature?