Door system for a vehicle and vehicle with a door system

A door system for a vehicle comprising a door leaf configured to be moved from a closed state into an open state and vice versa, the door system comprising

• a. a longitudinal beam extending along a longitudinal vehicle axis (X) and having a longitudinal guide in which the door leaf is movably guided;
• b. a transverse beam arranged firmly on the vehicle, which extends along a transverse vehicle axis (Y) substantially perpendicularly to the longitudinal beam, wherein the longitudinal beam is movably guided via a guiding device in a transverse guide of the transverse beam;
• c. a locking device configured for blocking a relative displacement between the longitudinal and transverse beams in a locking position and for enabling a displacement of the longitudinal beam relative to the transverse beam in an open position;
• wherein the locking device comprises a locking disk pivotably mounted on the guiding device, wherein the locking disk is pivotable, using a drive device operatively connected to the locking disk, and while carrying out an unlocking pivoting movement, from a first final position to a second final position when unlocking the locking device, and wherein the longitudinal beam and the transverse beam, when carrying out the unlocking pivoting movement, are non-displaceable relative to each other over a predetermined free motion angle value (L) of the locking disk,
• wherein the locking disk has an elongated-hole opening formed as a curve and in which a guide member, which is non-displaceably arranged on the transverse beam, is at least partially accommodated and guided.