Moon&Mercury
&Vinus
However, there is a possibility that the moon itself may not be seen around the new moon.
MAY24.1960
TUESDAY 21:00
LUNA(taurus21'53)NEAR MERCURY(gemini11'30)VENUS(taurus25'17)
SUMMER DAY20(76 days remaining)
JUST NOW
YY
MM
DD

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

Lunar.today