A ray tracing technique which includes atmospheric refraction is used to tabulate the air mass and the single layer effective temperature and pressure for a grazing ray from the sun. Summer and winter atmospheric profiles are used with observer altitudes ranging from 10 to 50 km in steps of 1 km. Zenith angles ranging from 80 degrees up to 97 degrees are considered. Results indicate that neglecting refraction in the computation of air mass and effective pressure can lead to overestimates of these quantities by up to 25% for aircraft observers, 60% for high altitude balloons, and 200% for satellite observers.