Day length and sun angle functions (days, moving, hours, different)

[tommyFL]

Here are a couple functions I put together. You can change the latitude φ by moving the slider. α (blue) is the sun angle at solar noon and h is the number of hours of daylight. The x-axis is number of days since the beginning of the year.

https://www.desmos.com/calculator/9mbo97jzhg

[divisionbyzero0]

little correction : it's -23.44, not -22.44 (formula no 3)

[tommyFL]

Originally Posted by divisionbyzero0

little correction : it's -23.44, not -22.44 (formula no 3)

Oops, that explains why everything's a little off.

[tommyFL]

I fixed the error and changed the day length function to a piece-wise function so that it's defined at polar day/night.

https://www.desmos.com/calculator/zbttku4oqy

[tenkier7]

Wow thanks for the link, I was wonder how the daylight hours would be change if the axial tilt was situated differently.