Position of the Moon by
Spreadsheet
for a day
Select the table 'input':  
Input (red frames): 1) Date, Month, Year 

The table 'calc' performs the calculations,
using a lot of auxiliary variables. Don't edit any cell! 

Select 'elev az illum' to see data and diagrams of elevation, azimut and illumination.  
Select 'distance' for data of the geocentric distance. 
Culmination and Transit
The culmination
of a celestial body means that the body is at
its greatest altitude, whereas the transit is
the passage
of its center through the meridian.Only the fixed stars culminate really in the meridian. The Sun, Moon, and the planets culminate out of the meridian. At midlatitudes (50°) the difference may be up to 18 seconds for the Sun, and more than 6 minutes for the Moon. The Moon, 50°N, 0°E
JPL Horizons System Transit before culmination: ∆T ≈ 5 min, az ≈ 1,77°, ∆elev ≈ 0.013° My spradsheet is computing transit
by linear interpolation, culmination by parabolic
interpolation.
***** Solar Eclipse of 2022, Oct. 25 On Oct. 25 at 14 UT equal longitudes: On Oct. 26 at 6:30 UT the Moon passes the descending node: Rise of the Moon occurs 13 to 87
minutes later than on previous day, and set 12 to 82
minutes later.

The value
"elev1" is not taking into account the atmospheric refracion.
Comparing
the results "elev1" (airless) of my spreadsheet with the 4
decimal values of MICA
the mean absolute error is only (0,007 ± 0,005)°.
k
= [1+cos(i)]/2
cos(i)=
cos(Bmoon) cos(LmoonLsun)
Download speadsheet
: moon_day.ods
(LibreOffice,
Windows and Mac) 

Die Zeitgleichung: Eine einfache Formel zu Sonnenaufgang und Untergang General
Solar Position Calculations (PDF) MICA (Multiliyear Interactive Computer Almanac
18002051), US Naval Observatory 2011, no longer
published Table
of Sunrise/Sunset, Moonrise/Moonset, or Twilight
Times for an Entire Year 