However, there is a possibility that the moon itself may not be seen around the new moon.
JUNE27.1965
SUNDAY 21:00
LUNA(gemini11'47)NEAR JUPITER(gemini15'05)
SUMMER DAY54(41 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