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http://dx.doi.org/10.5303/JKAS.2012.45.5.111

ILLUMINANCE DURING A SOLAR ECLIPSE WITH LIMB DARKENING: A MATHEMATICAL MODEL  

Lee, Sung Hwan (Seoul Science High School)
Lee, Siyul (Seoul Science High School)
Publication Information
Journal of The Korean Astronomical Society / v.45, no.5, 2012 , pp. 111-116 More about this Journal
Abstract
We present a mathematical model that predicts the variation of illuminance during a solar eclipse, considering continuous effects of limb darkening. We assume that (1) the Sun and the Moon constitute perfect spheres, (2) the Moon crosses the Sun with a constant apparent velocity, and (3) sunspots, prominences, and coronae can be neglected. We compare predictions of this model with actual measurements made by M$\ddot{o}$llmann & Vollmer (2006) during a total solar eclipse in Turkey, and with predictions of existing models. The new model is shown to describe the actual phenomenon more accurately than existing models.
Keywords
solar eclipse; illuminance; limb darkening;
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