A projectile including at least one pair of airfoil sections, deployable from housings located inside the body and emerging toward the outside of the projectile. The projectile includes a casing surrounding the body of the projectile and outer surface of which is in profile continuity with the body. The casing can pivot around body along longitudinal axis and includes, for each section, an opening having two zones. A first zone is indented to be positioned, by pivoting of the casing, so as to face a housing in order to allow the section to pass to allow it to be deployed, and second zone located as a recess lateral to the first zone, the recess being oriented along a direction substantially perpendicular to the first zone's longitudinal direction, the second zone having a width allowing the passage of a foot of the deployed section.