Non-local properties of recurrent motions of three bodies gravitating system

Abstract

Subject of inquiry: system of three gravitating material points. The aim of the work is to investigate isosceles motion of gravitating system of three bodies,to prove the existence of coherent operation of recurrent motions, to obtain their non-local properties. Isosceles motion criterion has been obtained; integrability criteria for planar and spatial cases under isosceles motion has been determined; class of regular, according to Duboshin, motions in the problem of rotary-translational motion of the system consisting of two perfectly rigid bodies has been expanded. The results of investigation may serve a foundation for the elaboration of theory of orbits for natural and artificial celestial bodies, their trajectories computationAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio

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Last time updated on 14/06/2016

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