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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.

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)

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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'

 Download speadsheet : moon_day.xlsx   (Excel, Windows and Mac) moon_day.ods   (LibreOffice, Windows and Mac) Updated!

 Web Links MICA (Multiliyear Interactive Computer Almanac), US Naval Observatory

2020, Mar 9