To look up the phase of the moon for any (Common Era) date,
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The waning moon.

At 21:16:01 UT Tuesday 27 April 2021
the moon’s phase was

WANING GIBBOUS (99.18% full)


Some factors that go into this equation:

Universal Time is 21.2836111111111 in decimal hours.
The Julian date was 2459332.49179616.
The sun’s ecliptic longitude was 37.841933988548 degrees.
Its mean anomaly was 113.3147270221 degrees.
The moon’s mean longitude on 00 January 1990 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.)

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