with those obtained applying different and classical techniques shows the great potential of the method developed to estimate cloud cover from in situ measurements.In this chapter our model will be explained. In §2 the main characteristics of solar radiation through the terrestrial atmosphere are discussed; in §3 our method to estimate the temporal fraction of cloud cover is described using radiation data of the astronomical sites Sierra Negra and San Pedro Mártir. In §4 a brief summary is presented.
Solar radiation through the terrestrial atmosphere
The SunThe Sun provides energy to the Earth at an average rate of s ⊙ = 1367 W/m 2 .T h i s v a l u e relates directly to the solar luminosity, L ⊙ = 3.84(4) × 10 27 Watts, as observed at an average distance of one astronomical unit, s ⊙ = L ⊙ / 4πd 2 ⊕ ,w i t hd ⊕ = 1 UA ≃ 1.496 × 10 11 m. The value of s ⊙ is stable enough to be often referred as the Solar constant. Variations of the solar flux arise from intrinsic variations in the solar luminosity and seasonal variations of the distance between the Earth and the Sun. The eccentricity of the orbit of the Earth around the Sun, ε ⊕ = 0.0167, translates into minimum and maximum distances of d ⊕ /(1 ± ε), and hence a yearly modulation (∝ ε 2 ⊕ )of±3.3% in the solar flux over the year. Given a location on the Earth, this modulation is smaller than seasonal variations due to the changes of the apparent trajectory of the Sun in the sky, originated by the inclination of the Earth spin axis relative to the ecliptic. Intrinsic variations of the solar flux due to changes in luminosity, some tentatively related to the 11-year solar activity cycle, are very low, of the order of 0.1%.