Physics
Scientific paper
Nov 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cosre..28..279s&link_type=abstract
Cosmic Res., Vol. 28, No. 3, p. 279 - 284
Physics
Planets: Orbits, Planets: Motions
Scientific paper
Tidal evolution in the motion of the major planets is studied. The evolution of the rotational motion of a sphere in a central Newtonian force field, conditioned by the viscous elasticity of its material, may serve as one of the models. Previously, on the basis of an assumption of the proportionality of the potential energy functional of elastic deformation to the dissipative functional defined in the form of the Rayleigh function, the evolution of the rotational motion of a viscous-elastic sphere in circular orbit was studied. Using the correspondence principle, the author finds an exact solution to the quasistatic problem of the deformation of a sphere consisting of any linear viscouselastic material, elastically reacting on the deformation of net extension. By methods of partition of the motions and averaging, equations are derived that describe the evolution of the rotational motion of a viscous-elastic sphere under the condition that its center of mass be moving along a circular orbit.
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