AA 2578 then DL 1005 at Atlanta
Dallas-Fort Worth → Atlanta → Detroit
Timetable, Atlanta time
12:37AA 2578 from Dallas-Fort Worth at the gate
08:31DL 1005 to Detroit leaves the gate
19 h 54 apart on the timetable, overnight
DL 1005 leaves 19 h 54 after AA 2578 arrives on the timetable: more than half a day, so not a connection we count.