The CAA also confirmed on Tuesday that the plane had in fact landed at Polokwane International Airport. It was previously alleged that it had left South African airspace illegally by flying directly from Pretoria's Wonderboom airport to Harare.
The CAA was awaiting more information before deciding on a further course of action.
The aircraft, which once belonged to the US Air Force, bears the registration number N4610, which the US Federal Aviation Authority says is allocated to a Kansas-based company called Dodson Aviation Inc.
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