How long is the day at any latitude and tilt?

The hours of daylight at any latitude, on any day of the year, for any axial tilt.

Daylight

5.547 h

At latitude 59.9°, on a planet tilted 23.44°, the Sun is above the horizon for 5.547 h on day 355 of the year.

Latitude where the Sun is overhead: −23.4°
Latitude of the polar circles: 66.56°
The Sun stays up all day: no
The Sun stays down all day: no

Try an example

How it is worked out

g = 357.529 + 0.98560028*dq = 280.459 + 0.98564736*dL = q + 1.915*sin(g) + 0.020*sin(2*g)decl = asin(sin(tilt)*sin(L))H0 = acos(-tan(lat)*tan(decl))day = 2*H0/15

Where the numbers come from

Meeus, Astronomical Algorithms, 2nd ed., ch. 25 (ISBN 0-943396-61-3)
IAU 2015 Resolution B3

Keep in mind

Geometric: the Sun’s centre at the horizon. Refraction (+0.83°) plus the Sun’s half-disc add ~5-8 min at mid-latitudes; true sunrise/sunset need those corrections.

Link to this answer

Address

https://clipwright.studio/tools/day-length-by-latitude?latitude_deg=59.9&tilt_deg=23.44&day_of_year=355

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