Daylength
This app finds the lengths of day and night and the times of sunrise and sunset at any latitude and longitude, both in LTST and LMST, for any given size and distance of the Sun. For realistic results, drag the solar distance S and radius s sliders to their rightmost ends, and set the latitude ϕ, longitude λ, and time offset from UT appropriately. The results obtained may differ from reality by a few minutes, mainly due to varying atmospheric conditions and astronomical arrangements (since, in this app, air bending is adjusted manually, and the Sun's declination and Equation of Time are both based on approximations).