Abstract: To determine once space flight, one should select the optimal space trajectories, discriminate the optimal thrust programme & determine the optimal design of freight rocket (vehicle) , etc. So they must use mathematical methods & "three C" (Computer, Communication, Control) technics. How to solve the mathematical problems of austronautical technics is full of meaning. This paper summarizes briefly the solving methods of some math- ematical problems of astronautical technics.①The singular equations of pressure distribution on a coplanar wing in supersonic flow.②The boundary value problem for wings at large angle of attack in steady & unsteady flow.③How to solve the equations of hypersonic interactions with surface mass transfer?④To solve the problem of viscous flow over cylinders in unsteady motion.⑤To evaluate the validity of turbulence calculations & models.⑥The problem for transverse vibrations of nonisotropic & nonuniform elastic plates.⑦How to solve the equations for the coupled interaction launch behavior of a flexible rocket and flexible launcher.In the last two decades a large number of investigations in different areas of astronautics & aeronautics have been devoted to the study of "astronautical mathematics"), which is an important and rising branch of applied mathematics.