On the stability of satellite's motion in the elliptical orbit in case of the cylindrical precession

The stability of satellite's motion in the elliptical orbit in case of the cylindrical precession [1] is under investigation. Analytical and numerical methods are used. Stability and instability regions at first approximation in the sense of Liapunov have been received in the space of parameters of the problem (inertial parameter and eccentricity of the orbit). Nonlinear analysis is also carried out.