N.I. Zemtsova

In this article the questions of existence of rhombus-like central configurations in a Newtonian problem of 9 bodies in sense of determination of A. Uintner [1] are researched. Values of dynamic and geometrical parameters at which the central configurations are exact gomographical solutions of a Newtonian 9-body problem are defined. Obtained results stability conditions can be use in problems of stability and qualitative behavior of dynamical systems, in problems of celestial mechanics and in mathematical control theory.