A peeling apparatus (S) for at least partially removing the surface of an at least approximately tubular body (R) having a central axis (MR), in particular a plastic tube, comprising: a clamping assembly (10; 310; 410; 510) with a centre axis (MS) and at least one clamping element (14; 314; 414; 514) for clamping the peeling apparatus (S) to the tubular body (R), wherein in the assembled state the central axis (MS) of the clamping assembly (10; 310; 410; 510) coincides at least approximately with the central axis (MR) of the tubular body (R), and a peeling assembly (20; 120; 220) comprising a peeling arm unit (30; 130; 230), a peeling blade structure (40; 140) arranged at a first end (30a; 130a; 230a) of the peeling arm unit (30; 130; 230), and a peeling arm support having a first end (62; 160) and a second end (64; 164) and connecting the clamping assembly (10; 310; 410; 510) to the peeling arm unit (30; 130; 230), wherein the peeling arm unit (30; 130; 230) is connected by a second end (30b; 130b; 230b) to the peeling arm support (60; 160) such that the peeling arm unit (30; 130; 230) and the central axis (MS) of the clamping assembly (10; 310; 410; 510) in the assembled state are located in a common plane, wherein the peeling blade structure (40; 140) comprises a peeling blade (44; 144), characterised in that the peeling arm unit (30; 130; 230) is connected by its first and second ends (30a, 30b; 130a, 130; 230a, 230b) to the peeling blade structure (40; 140) and the peeling arm support (60; 160) and is pivotable in the common plane with the central axis (MS) of the clamping assembly (10; 310; 410; 510) such that the peeling blade structure (40; 140) maintains its alignment with the central axis (MS) of the clamping assembly (10; 310; 410; 510) in every pivoting position of the peeling arm unit (30; 130; 230). a clamping assembly (10; 310; 410; 510) with a centre axis (MS) and at least one clamping element (14; 314; 414; 514) for clamping the peeling apparatus (S) to the tubular body (R), wherein in the assembled state the central axis (MS) of the clamping assembly (10; 310; 410; 510) coincides at least approximately with the central axis (MR) of the tubular body (R), and a peeling assembly (20; 120; 220) comprising a peeling arm unit (30; 130; 230), a peeling blade structure (40; 140) arranged at a first end (30a; 130a; 230a) of the peeling arm unit (30; 130; 230), and a peeling arm support having a first end (62; 160) and a second end (64; 164) and connecting the clamping assembly (10; 310; 410; 510) to the peeling arm unit (30; 130; 230), wherein the peeling arm unit (30; 130; 230) is connected by a second end (30b; 130b; 230b) to the peeling arm support (60; 160) such that the peeling arm unit (30; 130; 230) and the central axis (MS) of the clamping assembly (10; 310; 410; 510) in the assembled state are located in a common plane, wherein the peeling blade structure (40; 140) comprises a peeling blade (44; 144), characterised in that the peeling arm unit (30; 130; 230) is connected by its first and second ends (30a, 30b; 130a, 130; 230a, 230b) to the peeling blade structure (40; 140) and the peeling arm support (60; 160) and is pivotable in the common plane with the central axis (MS) of the clamping assembly (10; 310; 410; 510) such that the peeling blade structure (40; 140) maintains its alignment with the central axis (MS) of the clamping assembly (10; 310; 410; 510) in every pivoting position of the peeling arm unit (30; 130; 230). <EOS>