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At 04:24:29 UT Friday 10 January 2020
the waxing moon’s phase was
is 4.42472222222222 in decimal hours.
The Julian date was 2458859.49491138.
The sun’s ecliptic longitude was 289.393430194392 degrees.
Its mean anomaly was 6.4111558152 degrees.
The moon’s mean longitude was 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.)