Evolution of the rotational motion of a viscoelastic planet in circular orbit

Statistics – Computation

Scientific paper

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Circular Orbits, Computational Astrophysics, Gas Giant Planets, Planetary Rotation, Viscoelasticity, Center Of Mass, Orbital Mechanics, Planetary Evolution

Scientific paper

The tidal evolution of the motion of a giant planet is studied on the basis of a model which considers that the evolution of the rotational motion of the planet in a central Newtonian force field is determined by the viscoelasticity of the planet. An exact solution is obtained to the quasi-static problem of the deformations of a sphere consisting of an arbitrary linear viscoelastic material reacting elastically to a deformation of pure expansion type. Equations are derived which describe the evolution of the rotational motion of the viscoelastic sphere under the condition that its center of mass moves in circular orbit.

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