Stateczność dynamiczna obiektu latającego odwijającego z pokładu linę

The main purpose of this paper is an analysis of the stability problem of a flying vehicle with a cable's uncoiling system. The flying vehicle motion is described in set of axes fixed with the vehicle and nonlinear differential equations are developed. Authors give a discription of the linearized mathematical model of this kind of system. The mathematical model is a set of linearized differential equations and involves descrcription of the cables influence on the dynamics of vehicle. The solution of the linearized differential equations is based on calculating the eigenvalues and eigenvectors. Authors have given a numerical example of the investigated problem.