Length of the Night
as an interval between the PM and AM moments
of Sun passing a given angular height (default -6°, for the ``civil night''):
The centre of Sun is at a place with coordinates [Lambda=16.6°, Phi=49.2°]
in an angular height of h =-6.0°
in the following morning and evening moments (given in UTC+ 1h):
year-month-day morning evening twilight decl. >mean night A-W
h:min / 1 min /1° /1min /1h /1°
2025-12-24 Wednesd 7:10 16:37 37.9 -23.41 0.3 14.55 -29.3
25 Thursda 7:10 16:38 37.9 -23.38 -0.2 14.54 -29.3
26 Friday 7:10 16:38 37.8 -23.35 -0.7 14.54 -29.2
Average for 3 days
from 3 values is 7:10 16:38 37.9 -23.38 -0.2 14.54 -29.3
Meaning of remaining columns:
Twilight is an interval to/from h=-0.8°
Declination of Sun is given for the moment of local mean noon,
>Mean says how much is the Sun ahead of the mean time,
Night is the time the Sun travels below h,
A-W is departure of solar azimuth from the west when at h afternoon.
This is a result of the programme
nights (available as a part of a package
pas_jh.zip (1.2 MB) --
the needed Pascal units themselves are unzipped within
this directory, the whole tree of my programmes within
this directory)
with a command line:
nights d24.12.2025 t19:56 l16.6 f49.2 ut1 h-6 n2 i1