A Model to Determine Naked-Eye Limiting Magnitude

Abstract

The purpose of this study was to determine which variables would be needed to generate a model that predicted the naked eye limiting magnitude on a given night. After background research was conducted, it seemed most likely that wind speed, air quality, skyglow, and cloud cover would contribute to the proposed model. This hypothesis was tested by obtaining local weather data, then determining the naked eye limiting magnitude for the local conditions. This procedure was repeated for the moon cycle of October, then repeated an additional 11 times in November, December, and January. After the initial 30 trials, r values were calculated for each variable that was measured. These values revealed that wind was not at all correlated with the naked eye limiting magnitude, but pollen (a measure of air quality), skyglow, and cloud cover were. After the generation of several models using multiple regression tests, air quality also proved not to affect the naked eye limiting magnitude. It was concluded that skyglow and cloud cover would contribute to a model that predicts naked eye limiting magnitude, proving the original hypothesis to be partially correct.