Motion of three viscoelastic planets in the field of their mutual attraction forces

Details Motion of three viscoelastic planets in the field of their mutual attraction forces Motion of three viscoelastic planets in the field of their mutual attraction forces

Oct 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009cosre..47..438v&link_type=abstract

Cosmic Research, Volume 47, Issue 5, pp.438-443

Physics

Scientific paper

Translational-rotational motion of three planets modeled by viscoelastic balls in the gravitational field of mutual attraction is studied in this paper. The system of equations of motion for the mechanical system under consideration is deduced from the d’Alembert-Lagrange variational principle. Using the method of separation of motions, an approximate system of ordinary differential equations, describing the translational-rotational motion of the planets, is obtained with taking into account perturbations caused by elasticity and dissipation. The found steady-state motion of the system is an analog to triangular libration points in the classical three-body problem.

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