Daylength
This app calculates the lengths of day and night, as well as 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 more realistic results, drag the solar distance S and radius s sliders to their rightmost positions, and set the latitude ϕ, longitude λ, and time offset from UT accordingly. The results may differ from reality by a few minutes, mainly due to changing atmospheric conditions and astronomical factors (since, in this app, air bending is adjusted manually, and the Sun's declination and Equation of Time are both based on approximations).