Abstract: A machine designed to grind the rotor blades of aeronautical engines includes a bench with a sliding table which holds the rotor supports. The rotor supports include a side stand point and a side stand counterpoint, both of which are combined with a bridge frame over which the rotor is suspended. The stands have elastic joints which have associated optional blocking mechanisms that are controlled by the machine's CNC control. The table has sliding supports which also include mechanisms for optional blocking. When the blocking mechanisms of both the elastic joints and the table supports are utilized, a high precision balancing and rectifying operation is achieved.