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IMCS/Publications/CSJM/Issues/CSJM v.3, n.2 (8), 1995/

Investigation of simply periodic motions of a heavy solid with a fixed point

Authors: R. Puya

Abstract

Some simply periodical motions of a heavy solid body with A=B=3C inertia principal moments' ratio near the fixed point in the uniform gravitational field are studied, employing the method of point mappings. The order of motion equations' system is reduced using the Routh method, and the equations are reduced to the form, analogous to the equations of the restricted three bodies problem. Three classes of the revealed simply periodical trajectories are described.

R. Puya,
Academy of Sciences of Moldova,
3 Academiei str., Kishinev,
277028, Moldova
phone: (373-2) 739966

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