A projectile with incidence steerable control surfaces, the projectile comprising at least two control surfaces each pivotable with respect to the projectile around a pivot axis perpendicular to the longitudinal axis of the projectile, the projectile comprising: - central means for controlling the control surfaces comprising at least one spherical form whose center is located on the longitudinal axis, the spherical form being arranged in a housing of the projectile, - a control arm integral with the spherical form and adapted to rotate the spherical form at least around the pitch and yaw axes of the projectile passing through the center of the spherical form, - for each control surface, a transmission member cooperating with the spherical form by a first side and with a control surface foot by a second side, the transmission member being intended to transmit to the control surface the rotation movements of the spherical form around the pivot axis of the control surface, - means for positioning the arm, adapted to position one end of the arm in a position determined with respect to an absolute reference frame centered on the longitudinal axis of the projectile, - wherein the positioning means comprises a cone movable in translation along the longitudinal axis of the projectile between a first, so-called neutral, position and a second, so-called piloting, position in which the cone pushes a ramp carried by a first end of the control arm so as to pivot the central control means around an axis, so-called orientation axis, passing through the center of the central control means, - wherein the central control means is freely rotatable around the longitudinal axis of the control arm, - wherein the positioning means comprises a toothed wheel centered on the longitudinal axis of the projectile and connected to a second end of the arm by a sliding connection located in the plane of the wheel and perpendicular to the orientation axis, the toothed wheel meshing with a motorization intended to pilot the angular position of the orientation axis in an absolute reference frame. - central means for controlling the control surfaces comprising at least one spherical form whose center is located on the longitudinal axis, the spherical form being arranged in a housing of the projectile, - a control arm integral with the spherical form and adapted to rotate the spherical form at least around the pitch and yaw axes of the projectile passing through the center of the spherical form, - for each control surface, a transmission member cooperating with the spherical form by a first side and with a control surface foot by a second side, the transmission member being intended to transmit to the control surface the rotation movements of the spherical form around the pivot axis of the control surface, - means for positioning the arm, adapted to position one end of the arm in a position determined with respect to an absolute reference frame centered on the longitudinal axis of the projectile, - wherein the positioning means comprises a cone movable in translation along the longitudinal axis of the projectile between a first, so-called neutral, position and a second, so-called piloting, position in which the cone pushes a ramp carried by a first end of the control arm so as to pivot the central control means around an axis, so-called orientation axis, passing through the center of the central control means, - wherein the central control means is freely rotatable around the longitudinal axis of the control arm, - wherein the positioning means comprises a toothed wheel centered on the longitudinal axis of the projectile and connected to a second end of the arm by a sliding connection located in the plane of the wheel and perpendicular to the orientation axis, the toothed wheel meshing with a motorization intended to pilot the angular position of the orientation axis in an absolute reference frame.