AA 5318 then AA 1738 at Philadelphia
Madison → Philadelphia → Providenciales
Timetable, Philadelphia time
09:15AA 5318 from Madison at the gate
08:50AA 1738 to Providenciales leaves the gate
23 h 35 apart on the timetable, overnight
AA 1738 leaves 23 h 35 after AA 5318 arrives on the timetable: more than half a day, so not a connection we count.