DL 2599 then DL 2959 at Atlanta
Madison → Atlanta → Wichita
Timetable, Atlanta time
22:59DL 2599 from Madison at the gate
20:12DL 2959 to Wichita leaves the gate
21 h 13 apart on the timetable, overnight
DL 2959 leaves 21 h 13 after DL 2599 arrives on the timetable: more than half a day, so not a connection we count.