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At 16:37:48 UT Tuesday 02 January 2018
the waning moon’s phase will be
is 16.6466666666667 in decimal hours.
The Julian date will be 2458121.49478437.
The sun’s ecliptic longitude will be 282.25723331856 degrees.
Its mean anomaly will be -0.49465456339999 degrees.
The moon’s true longitude will be 1910.54014583483 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.)