Evolution of Motion of a Double Planet in the Gravitational Field of a Massive Viscoelastic Body / Shatina L.S. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2011. ? 6. P. 32-37 [Moscow Univ. Mech. Bulletin. Vol. 66, N 6, 2011.].

The motion of a double planet in the gravitational force field of a massive planet modeled by a viscoelastic body is studied. The double planet is modeled by a viscoelastic body and a material point. These viscoelastic bodies are homogeneous, isotropic and, in their natural undeformed state, occupy spherical regions in the three-dimensional Euclidean space. The problem is solved in the framework of a linear model in the theory of viscoelasticity. The motion separation method and the averaging method are applied to derive an approximate system of equations describing the evolution of translational-rotational motion for the mechanical system under study. The Earth-Moon system is considered in the gravitational field of the Sun as an example of a double planet.

Key words: double planet, viscoelastic body, evolution of motion.