Motion in an atmosphere of tether system landing module - aerodynamic stabilizer

Motion in an atmosphere of the landing module with attached by tether aerodynamic stabilizer is considered. The equations of movement given tether systems which represent system of the ordinary differential equations in the implicit form are received. The constructed mathematical model consists of the equations of rotary motion for both bodies and the equations considering mechanical communication between them in the form of a rectilinear weightless tether. Conditions of static stability of motion in an atmosphere for considered mechanical system are found. The analysis of influence on motion stability in an atmosphere in case of changing parameters of the aerodynamic stabilizer and tether length is lead.