RUSSIAN FEDERATION

Abstract:- This work involves the research of a motion of a mechanical system consisting from coaxial bodies of variable mass in a translating coordinate system. The author gives a theorem on the change in the angular momentum of a system of variable mass coaxial bodies with respect to translating axes. The dynamic equations of motion are constructed using the example of two coaxial bodies. The modification of mass parameters of coaxial bodies (mass, moments of inertia) causes nontrivial changes of system angular motion. The article describes a special developed method for qualitative phase space analysis, based on the evaluation of a phase trajectory curvature. The method suggested makes it possible to determine the phase trajectory shape and to synthesize conditions for special motion modes realization (for example, nutation angle monotonous diminution or magnification). The results obtained can be used to describe the motion of a coaxial dual-spin spacecraft, performing active maneuvers with a change in mass