Research of dynamics of a three-dimensional movement of bodies of variable structure

Аuthors

Krikunov M. M.

Samara National Research University named after Academician S.P. Korolev, 34, Moskovskoye shosse, Samara, 443086, Russia

Abstract

Research of a three-dimensional motion of solid bodies of a constant and variable structure remains to one of central problems a dynamics of solid body and their systems, and also has the important value for applied problems of mechanics of space flight. In-process investigates a solid body of a variable structure with desired laws of a modification of moments of inertia. Equations of motion of a solid body of a variable structure are injected on the basis of a formalism of Hamilton. On the basis of the inferred equations the mathematical model of motion of a solid body of a variable structure in canonical variables Andyae-Deprit is under construction. For the analysis of dynamic it is carried out analytical and a numerical modeling of motion of a body. Existence of chaotic conditions in a system is displayed on the basis of method of Melnikov-Wiggins. Outcomes of activity can be used for the analysis and synthesis of conditions of an attitude of a space vehicle on the active legs with a modification of a mass.

Keywords:

Solid body of a variable structure; Hamiltonian; phase portrait; numerical model operation; Poincare section; dynamic chaos; Melnikov’s function

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