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Welcome to the CPL Air Law question and answer forum. Please feel free to post your questions but more importantly also suggest answers for your forum colleagues. Bob himself or one of the other tutors will get to your question as soon as we can.
You are correct in noting that the main difference between RPT and CHTR is that RPT operators can publish a timetable and fly fixed schedules along fixed routes with seats available to the general public. A CHTR operator can charge for seats on a flight but cannot fly a fixed schedule along fixed routes.
One way to look at is to consider the difference between a bus and a taxi. A bus can operate to a time table along fixed routes, but at taxi can only respond to demand. The passengers approach the taxi driver and request that he takes them to a fixed address. But the taxi operator cannot advertise that he leaves a certain location every day at a fixed time for a fixed destination. He/She can only respond to demand.