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At 22:52:25 UT Tuesday 02 January 2018
the waning moon’s phase was
is 22.8902777777778 in decimal hours.
The Julian date was 2458121.48911324.
The sun’s ecliptic longitude was 282.52222073402 degrees.
Its mean anomaly was -0.238237947299979 degrees.
The moon’s true longitude was 1914.50043862035 degrees.
These calculations incorporate the switch to the English New Style (N.S.)i.e., Gregorian calendar after Wednesday, 02 September 1752; the next day became Thursday, 14 September, skipping eleven days. (Please also note that, while fairly accurate, these calculations remain a bit buggy.)