AA 5181 then AA 6599 at Philadelphia
Providence → Philadelphia → Trenton
Timetable, Philadelphia time
06:36AA 5181 from Providence at the gate
18:56AA 6599 to Trenton leaves the gate
12 h 20 apart on the timetable
AA 6599 leaves 12 h 20 after AA 5181 arrives on the timetable: more than half a day, so not a connection we count.