To look up the phase of the moon for any date,
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At 10:08:58 UT Thursday 05 October 2017
the moon’s phase will be
is 10.1661111111111 in decimal hours.
The Julian date will be 2458032.49841361.
The sun’s ecliptic longitude will be 192.370507292638 degrees.
Its mean anomaly will be 271.51658311606 degrees.
The moon’s true longitude will be 727.805171600737 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.)