Magnus formula for dew point
The August–Roche–Magnus approximation gives the dew point from air temperature T (°C) and relative humidity RH (%): γ = (aT)/(b+T) + ln(RH/100); Td = bγ/(a−γ), with constants a = 17.625 and b = 243.04 °C. This formula is accurate to ±0.35 °C for temperatures between −40 °C and 60 °C. The reverse calculation — RH from T and Td — inverts the same equation.