The motion of cross-shaped bodies around a fixed point in a central Newtonian force fieldстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:An octahedral body with identical masses placed at opposite vertices moves around a fixed point in a central field of Newtonian attraction. The body is suspended at its centre of mass, which coincides with its geometrical centre, and the dimensions of the body and the masses concentrated at the vertices are such that all principal central moments of inertia are equal. The problem of whether steady motions of such a body exist is considered, and the stability and bifurcations of certain classes of solutions are investigated. The results are compared with similar results for steady motions of a rigid body whose mass distribution admits of the symmetry group of a regular octahedron [1].