Dew forms on telescope optics when their surface temperature falls to the dew point. Because optics radiate heat to the cold sky, they cool below the surrounding air and can dew up while the air stays clear. This calculator finds the dew point from temperature and humidity and tells you how much margin you have before the optics fog.
How it works
The dew point comes from the Magnus-Tetens approximation. With temperature T
in Celsius and relative humidity RH as a fraction:
a = 17.27, b = 237.7
γ = (a × T) / (b + T) + ln(RH)
Td = (b × γ) / (a − γ)
Td is the dew point. The dew margin is simply T − Td. Because exposed optics
cool a few degrees below ambient, a margin under about 3 degrees means
condensation is likely soon, while a larger margin gives you breathing room.
Example and tips
At 12 degrees Celsius and 85 percent humidity, the dew point is about 9.6 degrees — a margin of only 2.4 degrees, so a dew heater is essential. Drop the humidity to 55 percent and the dew point falls to around 3 degrees, a comfortable 9-degree margin. Watch the trend through the night: as temperature falls toward a fixed dew point, the margin shrinks, so set up dew control before the margin closes rather than after the optics have already fogged.