On the exo-planet precession under torqes due to three celestial bodies with the evolution of the satellite's orbit

We investigate the non-resonant evolution of axial tilt hypothetical exo-Earth in gravitational field a star, planet's satellite (exo-Moon) and outer planet (exo-Jupiter). The is assumed to be rigid, axially symmetric ($A=B$) almost spherical. assume orbits both exo-planets Keplerian ellipses with focus orbit exo-Moon an evolving ellipse slowly changing ascending node longitude periapsis argument. Assuming frequencies unperturbed orbital elliptical motion order unity, we obtain canonical averaged equations describing perturbed oscillations spin axis. These contain parameters over time. Using smallness planets' masses relative mass have obtained simplified axis by small parameter method. Time integration gives as function It shown that torques from exo-Jupiter create secular, long-period oscillation mode frequency equals precession exo-Earth. impact on short-period harmonics appear tilt. such close orbit. calculated for two exo-planetary systems, i.e., system similar solar system, planetary exo-system 7 Canis Majoris. effect destabilization (stabilization) due exerted described.