Nonlinear Oscillations of Elastic Solar Panels of a Spacecraft at Finite Turn by Roll

Abstract

Non-stationary rotational motion and nonlinear oscillations in the roll plane of a spacecraft with two elastic panels of solar batteries are considered. The spacecraft and sections of solar panels are considered to be non-deformable; they are interconnected by elastic-hinged joints that allow large angles of rotation. The spacecraft makes a turn about its axis as a solid body. Motion of elastic system under consideration is described in a connected coordinate system. Equations of motion are obtained on the basis of principle of possible displacements. Examples of numerical integration of a system of nonlinear differential equations with the analysis of convergence are given.