DL 612 then DL 962 at JFK
Oranjestad → New York → Atlanta
Timetable, New York time
19:10DL 612 from Oranjestad at the gate
18:59DL 962 to Atlanta leaves the gate
23 h 49 apart on the timetable, overnight
DL 962 leaves 23 h 49 after DL 612 arrives on the timetable: more than half a day, so not a connection we count.