To send the very low frequency signals, the length of antenna must attend one-half of a wavelength, maybe more than 8,000 meters sometimes. And the projection of the antenna on plumb line must exceed seventy percent of the antenna’s whole length. So the dynamic character and control of trailing antenna on a aircraft is one of most inmportant problems which need to research. The steady dynamic is the base of the dynamic character and control. The mathematics model of the trailing antenna is founded,and sloved via a shooting technique. The inflences of the angle of bank and the velocity of aircraft to the the end radius and verticality are reached. The result shows:under the low drag,for certain ranges of the angle of bank and the velocity ,the equilibruim solution is multivalued.