Approximate equations are obtained, describing the evolution of translational-rotational motion of a visco-elastic sphere in a central Newtonian force field,its steady-state motions are found, and their stability is investigated. The motion described can serve as one model of tidal phenomena under the motion of a planet of the solar system /1/. It has been shown previously /2/ that in the presence of energy dissipation a deformable planet tends towards a steady-state rotation around the attracting center, under which the planet's center of mass describes a circle, while its orientation in the orbital axes in unchanged.