Evolution and resonances in the rotational motion of a viscoelastic planet in elliptic orbit

Details Evolution and resonances in the rotational motion of a viscoelastic planet in elliptic orbit Evolution and resonances in the rotational motion of a viscoelastic planet in elliptic orbit

Aug 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991primm..55..647s&link_type=abstract

Prikladnaia Matematika i Mekhanika (ISSN 0032-8235), vol. 55, July-Aug. 1991, p. 647-652. In Russian.

Mathematics

Elliptical Orbits, Mathematical Models, Planetary Orbits, Planetary Rotation, Rotating Bodies, Viscoelasticity, Angular Velocity, Center Of Mass, Orbital Resonances (Celestial Mechanics), Rotating Spheres, Solar System

Scientific paper

The tidal evolution of the planetary motion in the solar system is investigated using a multiparametric model of linear viscoelasticity. A planet is modeled by a nearly spherical viscoelastic body whose center of mass moves in elliptic orbit. The averaging method is used to obtain equations describing the evolution of a plane rotational motion in the nonresonance and resonance cases. The limiting angular velocity and conditions for the existence of stable resonant rotation are obtained as functions of eccentricity and parameters characterizing the properties of the planet material.

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