AA 5079 then DL 1005 at Atlanta
Philadelphia → Atlanta → Detroit
Timetable, Atlanta time
10:52AA 5079 from Philadelphia at the gate
08:30DL 1005 to Detroit leaves the gate
21 h 38 apart on the timetable, overnight
DL 1005 leaves 21 h 38 after AA 5079 arrives on the timetable: more than half a day, so not a connection we count.