AA 557 then DL 2398 at Atlanta
Philadelphia → Atlanta → New York JFK
Timetable, Atlanta time
18:09AA 557 from Philadelphia at the gate
15:16DL 2398 to New York JFK leaves the gate
21 h 07 apart on the timetable, overnight
DL 2398 leaves 21 h 07 after AA 557 arrives on the timetable: more than half a day, so not a connection we count.