Please furnish me with model calculations height of the midday sun in any time of the year.
The following assumes you're in the Northern Hemisphere. First, determine your latitude (lat). If you subtract that from 90 degrees, you'll have the height of the sun in degrees from your position on Earth:
1) 90 deg - (your lat deg) = noon sun height deg
However, this equation is only accurate 2 days of the year, at the vernal and autumnal equinox. If you want to know the sun height for the winter and summer solstices, the equation would be:
2) 90 deg - (your lat deg) - 23.5 deg for winter solstice, and
3) 90 deg - (your lat deg) + 23.5 deg for summer solstice.
So these equations are good for 4 days in the year, from when the tilt of the earth is at a minimum of 0 deg (equinoxes) or a maximum of 23.5 deg (solstices) relative to the celestial sphere. To correct this degree calculation for any given day, first determine the number of days since the Spring Equinox (SE), and use the following equation:
4) Corrected Degrees (CD) = 23.5 deg * ( sin ( (# of days since SE) * 360 deg / 365)
So the final equation is:
5) noon sun height deg = 90 deg - (your lat deg) + 23.5 deg * ( sin ( (# of days since SE) * 360 deg / 365)
See more details at the link: