AA 5963 then AA 1597 at Philadelphia
Harrisburg → Philadelphia → Charleston (South Carolina)
Timetable, Philadelphia time
07:15AA 5963 from Harrisburg at the gate
21:49AA 1597 to Charleston (South Carolina) leaves the gate
14 h 34 apart on the timetable
AA 1597 leaves 14 h 34 after AA 5963 arrives on the timetable: more than half a day, so not a connection we count.