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“What do you mean when you say the actual molad is 11 hours before what is announced in Shul?”
The real molad is the lunar conjunction, that is when the sun, moon and earth are in a striaght line (though not necessarily in the same plane). The molad they announce in shul is an estimate based on the average. the average is taken to be 29 days 12 hours and 793 chalkim. In reality sometimes it is a bit longer and sometimes shorter but we take the average and this is what the calendar is based on, and what is announced in shul. (This isnt controversial
For Elul based on this average the Gabbai will announce the molad of Elul will be Tuesday 8/22 10:44 AM. (The time announced is in Yerushalyim, in NYC the announced molad will occur at the same moment in time but given the time difference it will be 7 hours earlier at 3:44 AM
However the real molad (ie lunar conjuction, when the sun, moon and Earth are in a striaght line) will occur at the time of the eclipse (ie this month they WILL all be in the same plane) which will be at 2:44 PM NyC time 11 hours before the (estimated) molad announced in shul