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The waning moon.

At 06:14:37 UT Saturday 18 January 2020
the waning moon’s phase is

42.09% full

Time Zone:   

Some factors that go into this equation:

Universal Time is 6.26027777777779 in decimal hours.
The Julian date is 2458866.92092616.
The sun’s ecliptic longitude is 297.615507832674 degrees.
Its mean anomaly is 14.3717184364 degrees.
The moon’s mean longitude is 318.351648 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.)

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