The mathematical models of an axisymmetric thrust vectoring nozzle and an aeroengine with this nozzle are established.The co-operation between vectoring nozzle and engine is studied with the help of these models.The results show that deflection of the vectoring nozzle affects slightly the high-speed rotor co-operating line

and also affects slightly the low-speed rotor co-operating line when the deflecting angle of vectoring nozzle is small

but makes the co-operating line moves to downward when the deflecting angle is larger.The geometry size of vectoring nozzle has some influence on the low-speed rotor co-operating line.