However, there is a possibility that the moon itself may not be seen around the new moon.
MAY24.1971
MONDAY 21:00
LUNA(gemini 2'17)NEAR SATURN(taurus26'47)
SUMMER DAY20(76 days remaining)
JUST NOW

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(not a perfect calculation, SORRY)
There is an error around 1 day depending on your area of residence.

Lunar.today