AA 5034 then DL 1005 at Atlanta
Philadelphia → Atlanta → Detroit
Timetable, Atlanta time
12:00AA 5034 from Philadelphia at the gate
08:30DL 1005 to Detroit leaves the gate
20 h 30 apart on the timetable, overnight
DL 1005 leaves 20 h 30 after AA 5034 arrives on the timetable: more than half a day, so not a connection we count.