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the Moon for a year      the Moon for a month

Position of the Moon by Spreadsheet
for a day

 Select the table 'input': Input (red frames): 1) Date, Month, Year 2) geogr. latitude und longitude (eastern longitude positive) Don't modify any other cell. 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 mid-latitudes (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.

Example: 2019, Jan 1 at 50°N, 10°E:

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)°.

The refraction is calculated ("elev refr.") by
1.02/(60*tan(K*(elev+10.3/(elev+5.11))))

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Rise and set (UT) of the Moon are computed by interpolation:

The mean error is (0.65±0.55) minutes (MICA)

In 2022 (1st of month): (0.72 ± 0.63) minutes (MICA)

In 2023 (1st of month): (0.58 ± 0.58) minutes (USNO)

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The illuminated fraction k of the moon is geocentric, computed (Meeus, Astronomical Algorithms, Ch. 46)

k = [1+cos(i)]/2

cos(i)= cos(Bmoon) cos(Lmoon-Lsun)

Azimuth is measured North(0°) -> East(90°) -> South(180°) -> West(270°) -> North (360°).

Comparing the azimuth results "az" of my spreadsheet with the 4 decimal values of HORIZONS Web-Interface
(NASA JPL) the mean absolute error is (0,009 ± 0,005)°.

The Moon on Jan 01:

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The Total Solar Eclipse of 2019 Jul 02 (NASA):
Greatest Eclipse: 19:22:58.5 UT
Lat = 17°23.3'S, Long = 109°00.0'W
Sun Altitude =  49.6°
Sun Azimuth = 359.0°

conditions:
|Lsun-Lmoon|='small'  and |Bmoon|='small'

At 50°N 15°E the mean abs. error for 1st of month in 2022 and 2023 (reference MICA) is
(3.4 ± 2.6) km