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Source: Astronomical and Astrophysical Transactions, Volume 25, Number 4, August 2006, pp. 275-290(16)
Publisher: Taylor and Francis Ltd
The results of some of our work and new research in which the motion of celestial bodies is considered to be subject to dissipative interactions is generalized in this article. In a number of problems the interaction of celestial bodies according to the law of universal gravitation is supplemented by a dissipative force. In the framework of this model, the evolution processes are studied, stationary configurations of an n-body systems are found, and their stability is investigated. In other problems the model of the axisymmetric celestial body that consists of a solid core and a viscoelastic mantle is considered. In such a model, the dissipation of energy under deformations is taken into account. The tidal evolution of a planet rotational motion is analysed in detail. Also phase portraits are constructed and an qualitative analysis of the global evolution of the dynamic characteristics of the Sun’s planetary subsystems is presented on the basis of averaged evolution equations.
Document Type: Research Article
Affiliations: 1: Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia 2: Moscow Aviation Institute (State Technical University), Moscow, Russia 3: Institute of Astronomy, Russian Academy of Sciences, Moscow, Russia
Publication date: August 1, 2006