solar zenith angle derivations
- solar zenith angle from solar elevation angle - symbol - description - unit - variable name - \(\alpha_{0}\) - solar elevation angle - \(deg\) - solar_azimuth_angle {:} - \(\theta_{0}\) - solar zenith angle - \(deg\) - solar_zenith_angle {:} - The pattern : for the dimensions can represent {time}, or no dimensions at all. \[\theta_{0} = 90 - \alpha_{0}\]
- solar zenith angle from latitude and solar declination/hour angles - symbol - description - unit - variable name - \(\theta_{0}\) - solar zenith angle - \(deg\) - solar_zenith_angle {time} - \(\delta\) - solar declination angle - \(deg\) - solar_declination_angle {time} - \(\phi\) - latitude - \(degN\) - latitude {time} - \(\omega\) - solar hour angle - \(deg\) - solar_hour_angle {time} \[\theta_{0} = \frac{180}{\pi}\arccos(\sin(\frac{\pi}{180}\delta)\sin(\frac{\pi}{180}\phi) - \cos(\frac{\pi}{180}\omega)\cos(\frac{\pi}{180}\delta)\cos(\frac{\pi}{180}\phi))\]