# sensor zenith angle derivations

1. sensor zenith angle from sensor elevation angle

   symbol | description | unit | variable name
   --- | --- | --- | ---
   \(\alpha_{S}\) | sensor elevation angle | \(deg\) | sensor_elevation_angle {:}
   \(\theta_{S}\) | sensor zenith angle | \(deg\) | sensor_zenith_angle {:}

   The pattern : for the dimensions can represent {time}, or no dimensions at all.

   \[\theta_{S} = 90 - \alpha_{S}\]

2. sensor zenith angle from viewing zenith angle

   symbol | description | unit | variable name
   --- | --- | --- | ---
   \(\theta_{S}\) | sensor zenith angle | \(deg\) | sensor_zenith_angle {:}
   \(\theta_{V}\) | viewing zenith angle | \(deg\) | viewing_zenith_angle {:}

   The pattern : for the dimensions can represent {time}, or no dimensions at all.

   \[\theta_{S} = 180 - \theta_{V}\]