A method for transporting an object such as an item of luggage (65, 82) or goods similar thereto such as a parcel with an automatically controllable vehicle in an object processing system, such as a processing system for items of luggage (65, 82) or goods similar thereto such as parcels, the object processing system comprising - a transport area with an at least substantially flat ground surface, - a number of automatically controllable vehicles which can each travel over the ground surface, - a central control unit for controlling each of the number of vehicles such that an object can be transported with a vehicle from a supply location in the transport area to a further location at a distance therefrom in the transport area, - a supply conveyor which debouches with a downstream outer end thereof at the supply location and which at the downstream outer end is clear of the ground surface such that a vehicle can travel through beneath it, each of the number of vehicles comprising: - a chassis having on an upper side a carrying surface for the object, - wheels (7, 10) which are controllable such that the vehicle is configured to be able to travel in crabbing motion, - drive means (14, 16) for rotatable driving of at least one wheel (7, 10) of the wheels of the vehicle, - a control unit for controlling the wheels (7, 10) at least for the purpose of the crabbing motion of the vehicle, which control unit is connected wirelessly to the central control unit during operation, the method comprising the steps of a) determining with sensing means connected to the central control unit the orientation of an object transported by the supply conveyor to the downstream outer end thereof, b) controlling one of the number of vehicles with the central control unit so that it travels to the supply location to a position beneath said outer end of the supply conveyor and so that it travels out from under the downstream outer end in crabbing motion making use of its control unit such that the orientation of the carrying surface of the vehicle is adapted to the orientation of the object, c) controlling the supply conveyor while the vehicle travels out from under the downstream outer end such that the object passes from the supply conveyor onto the carrying surface of the vehicle. - a transport area with an at least substantially flat ground surface, - a number of automatically controllable vehicles which can each travel over the ground surface, - a central control unit for controlling each of the number of vehicles such that an object can be transported with a vehicle from a supply location in the transport area to a further location at a distance therefrom in the transport area, - a supply conveyor which debouches with a downstream outer end thereof at the supply location and which at the downstream outer end is clear of the ground surface such that a vehicle can travel through beneath it, - a chassis having on an upper side a carrying surface for the object, - wheels (7, 10) which are controllable such that the vehicle is configured to be able to travel in crabbing motion, - drive means (14, 16) for rotatable driving of at least one wheel (7, 10) of the wheels of the vehicle, - a control unit for controlling the wheels (7, 10) at least for the purpose of the crabbing motion of the vehicle, which control unit is connected wirelessly to the central control unit during operation, a) determining with sensing means connected to the central control unit the orientation of an object transported by the supply conveyor to the downstream outer end thereof, b) controlling one of the number of vehicles with the central control unit so that it travels to the supply location to a position beneath said outer end of the supply conveyor and so that it travels out from under the downstream outer end in crabbing motion making use of its control unit such that the orientation of the carrying surface of the vehicle is adapted to the orientation of the object, c) controlling the supply conveyor while the vehicle travels out from under the downstream outer end such that the object passes from the supply conveyor onto the carrying surface of the vehicle.