The formula to calculate the Solar Azimuth Angle is:
\[ A = \cos^{-1} \left( \frac{\sin(\delta) - \sin(\phi) \cdot \cos(h)}{\cos(\phi) \cdot \sin(h)} \right) \]
Where:
A Solar Azimuth is a measurement used in astronomy to determine the direction of the sun or other celestial bodies from the observer’s standpoint on the earth’s surface. It is calculated in degrees, with the north direction set as zero degrees, and increases clockwise towards the east. The azimuth indicates the sun’s position in relation to true north at a specific time and location. It is a crucial component in solar tracking systems and solar energy studies.
Let's assume the following values:
Using the formula:
\[ A = \cos^{-1} \left( \frac{\sin(23.45) - \sin(40.71) \cdot \cos(45)}{\cos(40.71) \cdot \sin(45)} \right) \]
First, convert degrees to radians for calculation:
Then:
\[ A = \cos^{-1} \left( \frac{\sin(0.4093) - \sin(0.7102) \cdot \cos(0.7854)}{\cos(0.7102) \cdot \sin(0.7854)} \right) = 69.23 \text{ degrees} \]The Solar Azimuth Angle (A) is 69.23 degrees.
