Door system for an aircraft , having a door frame defining a door opening and having a first circumferential strut extending in a circumferential direction (U) and a second circumferential strut extending in the circumferential direction (U) and arranged at a distance from the first circumferential strut with respect to a longitudinal direction (L) extending transversely to the circumferential direction (U); at least one first frame stopper fixed to the first circumferential strut and at least one second frame stopper fixed to the second circumferential strut , the frame stoppers (31; 32) each have a first abutment section projecting into the door opening and having a first toothing , the first toothings each being formed at an inner surface of the first abutment section , which inner surface extends perpendicularly to a radial direction (R) extending transversely to the longitudinal direction (L) and transversely to the circumferential direction (U); a door movably mounted relative to the door frame and arranged in a closed state in the door opening ; and a number of door stoppers (51; 52) corresponding to the number of the frame stoppers (31; 32) which door stoppers (51; 52) are arranged on opposite sides (41; 42) of the door and are connected to the door and which each have a second abutment section , wherein the second abutment section has a second toothing formed complementarily to the first toothing , and wherein the first toothing of a respective frame stopper (31; 32) and the second toothing of a respective door stopper (51; 52) engage in one another in the closed state of the door ; wherein the first toothing and the second toothing have a plurality of engagement elements or toothed elements. a door frame defining a door opening and having a first circumferential strut extending in a circumferential direction (U) and a second circumferential strut extending in the circumferential direction (U) and arranged at a distance from the first circumferential strut with respect to a longitudinal direction (L) extending transversely to the circumferential direction (U); at least one first frame stopper fixed to the first circumferential strut and at least one second frame stopper fixed to the second circumferential strut , the frame stoppers (31; 32) each have a first abutment section projecting into the door opening and having a first toothing , the first toothings each being formed at an inner surface of the first abutment section , which inner surface extends perpendicularly to a radial direction (R) extending transversely to the longitudinal direction (L) and transversely to the circumferential direction (U); a door movably mounted relative to the door frame and arranged in a closed state in the door opening ; and a number of door stoppers (51; 52) corresponding to the number of the frame stoppers (31; 32) which door stoppers (51; 52) are arranged on opposite sides (41; 42) of the door and are connected to the door and which each have a second abutment section , wherein the second abutment section has a second toothing formed complementarily to the first toothing , and wherein the first toothing of a respective frame stopper (31; 32) and the second toothing of a respective door stopper (51; 52) engage in one another in the closed state of the door ; wherein the first toothing and the second toothing have a plurality of engagement elements or toothed elements. <EOS>