ИСТИНА

We study a mechanical system that consists of a 2D rigid body immersed in an unbounded volume of perfect fluid. The body is controlled by two internal point masses. The fluid's influence manifests itself through the added mass effect and dissipation (whose magnitude is small) described by the Rayleigh dissipation function. These assumptions allow for an analytical study of the problem using the small parameter method. Indeed, the unperturbed system (no dissipation) has, according to the Noether's theorem, a complete set of integrals of motion. These linear in velocities integrals can be expanded to the perturbed system in the form of series in the small parameter. For a fixed value of the integrals, the equations of motion reduce to a non-autonomous system of ordinary differential equations. The controllability of the system is then studied. The influence of dissipation on the controllability is outlined.