Purpose: Taking into account evolution trends of space-system engineering, on solution of tasks concerned with control systems elaboration, making of Robot Central Nervous System (RCNS) for perspective space-purpose robotic systems, we can talk about urgency of problems of brake-release mode analysis, which specificity is determined by functionality of systems under consideration and orbital external environment. The paper considers characteristic features of controlled motion of space system "movable platform-manipulator-payload", which moves in inertial space under the action of the hinged control in conditions free of external forces. Results: Using mathematical model obtained in Artemenko et al. (Smart electromechanical systems. Springer International Publishing, Switzerland, pp. 177-190, 2016, [1]) the paper examines an example of task solution of control synthesis of relative movement of orientable and lifting body, providing setting of orientable body in desired absolute position. Practical importance: There are perspective space systems, for which the considered type of controlled motion is possible as normal mode of operation being of applied interest.