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°
2025-11-21 Friday 6:38 16:41 35.8 -20.02 14.1 13.94 -23.9
22 Saturda 6:39 16:40 35.9 -20.23 13.8 13.98 -24.2
23 Sunday 6:41 16:40 36.0 -20.44 13.5 14.02 -24.6
Average for 3 days
from 3 values is 6:39 16:40 35.9 -20.23 13.8 13.98 -24.2
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 d21.11.2025 t00:48 l16.6 f49.2 ut1 h-6 n2 i1