Abstract: The dynamic character and control of very low frequency(VLF) trailing antenna on a aircraft is one of most important problems which needs to research. The steady dynamic is the base of the dynamic character and control of the VLF trailing antenna. The mathematics model based Newton law of the trailing antenna is founded, and solved via a shooting technique. The influences of the angle of bank and the velocity of aircraft to the non-dismensionalization end radius and verticality are researched. The result shows that under the low drag, for certain ranges of the angle of bank and the velocity, the equilibrium solution is multivolume; under certain ranges of air drag, it is possible to descend the velocity of the aircraft and increase the bank angle to improve the verticality of the antenna. But it’s impossible to increase the mass of the drogue only to improve the verticality of the antenna.

Key words: Steady state, The end radius, Trailing antenna, Verticality, Coating growth model, optimization, Spray method, Remanufactured profiled workpiece