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Published online by Cambridge University Press: 12 April 2016
Secular changes in the rotational motion of a planet due to dissipation of energy in its core are investigated. It is assumed that the effect of a liquid core is equivalent to the action on a “frozen” planet of a special type of nonconservative torque. The Bogoliuboff-Mitropolsky method is used to explain the secular effects. The following qualitative features of the evolution of the motion are established: the fast rotation of a planet gradually becomes slower and the inclination of its equator to the orbital plane gradually increases.