Abstract: Systems and a method for simulating a flexible retraction cable during motion of an object to which the cable is attached. The method includes receiving information inputs, including a numerical model of the object, receiving cable information inputs and retraction system information inputs. A numerical model of the flexible cable is modeled by modelling only a part of the flexible cable located outside a retraction system as a sequence of control points distributed along a length of the part, wherein each of the control points is submitted to a force representing the interaction of the control point with its environment and wherein the number of control points is fixed. The method further includes storing the numerical model of the flexible cable in a memory and simulating a motion of the flexible cable that would occur during a movement of the object.