Motion of three viscoelastic planets in the field of their mutual attraction forces |
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Authors: | V G Vil’ke A V Shatina L S Shatina |
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Institution: | (1) Centre for Fundamental Research in Space Dynamics Celestial Mechanics, IA/47C, Ashok Vihar, New Delhi, 110052 (, INDIA; |
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Abstract: | 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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Keywords: | |
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