Space deployable antennna has the characteristics of Lightweight, large diameter, high precision etc, which can meet the requirements of the launch vehicle carrying and payload’s Electromagnetic performance. Antenna’s mesh dividing have the direct bearing on payload’s Electromagnetic performance, geodesic mesh dividing has the advantage of shortest length of mseh line. but the equation solving of geodesic is complicated,which Impeding the geodesic’s application In academic and engineering fields. in this paper, a method has be proposed to solve the difficulty of geodesic equation solving. the solving result can be used in antenna’s mesh dividing, meanwhile the solving result can be used in Robot trajectory planning, Air route planning,Navigation route planning,Architectural structure design,etc. great care should be taken in constructing both.