Abstract: Aerodynamic braking device, intended in particular for decelerating a space object penetrating an atmosphere at high speed, essentially constituted by a circular ring (2) made from canvas, of general shape close to that of a truncated cone but whose cross-section through an axial plane exhibits an outward concavity, and by a supporting structure (6, 7, 8) designed to apply a tangential tensile stress to the said ring in an axial plane, and preferably comprising at least two parallel rigid rings (6, 7), between which the canvas ring is stretched, and struts (8) arranged in order to retain the distance between the two rigid rings by resisting the loads resulting from the tension of the canvas.