Propulsion device including: - a platform arranged in such a way that a passenger (U1, U2) can take a place there, - a thrust unit, - means for collecting and distributing a pressurized fluid to said thrust unit, said means (34, 34C, 34D) being supplied with pressurized fluid by a supply pipe and cooperating with the platform in an embedded connection, - the thrust unit including two secondary nozzles (33A, 33B) cooperating, in a fluid connection, with said means for collecting and distributing a pressurized fluid, so as to be supplied with pressurized fluid, said secondary nozzles being mounted movably, each according to a transverse axis of said propulsion device, said axis being normal to a first median plane of the propulsion device, said first median plane separating a port half from a starboard half of said propulsion device, in order to deliver said pressurized fluid in respective fluid directions (DE33A, DE33B) lying in second median planes (PMA, PMB), which are separate and parallel to said first median plane of the propulsion device; - the secondary nozzles (33A, 33B) being positioned below the centre of gravity and substantially at the nose of said propulsion device; - an actuator (35A, 35B) associated with each secondary nozzle (33A, 33B) causing a rotation, following a transverse axis of the propulsion device, of the fluid expulsion direction (DE33A, DE33B) of the secondary nozzle in question (33A, 33B) in one of said second median planes (PMA, PMB), the propulsion device being characterized in that the actuators (35A, 35B), respectively associated with the secondary nozzles (33A, 33B), are controlled by electrical commands (CdA, CdB), said propulsion device also including a processing unit designed to generate said electrical commands based on a control setpoint (C36, C38A) and/or a reference system determined by one or more configuration parameters. - a platform arranged in such a way that a passenger (U1, U2) can take a place there, - a thrust unit, - means for collecting and distributing a pressurized fluid to said thrust unit, said means (34, 34C, 34D) being supplied with pressurized fluid by a supply pipe and cooperating with the platform in an embedded connection, - the thrust unit including two secondary nozzles (33A, 33B) cooperating, in a fluid connection, with said means for collecting and distributing a pressurized fluid, so as to be supplied with pressurized fluid, said secondary nozzles being mounted movably, each according to a transverse axis of said propulsion device, said axis being normal to a first median plane of the propulsion device, said first median plane separating a port half from a starboard half of said propulsion device, in order to deliver said pressurized fluid in respective fluid directions (DE33A, DE33B) lying in second median planes (PMA, PMB), which are separate and parallel to said first median plane of the propulsion device; - the secondary nozzles (33A, 33B) being positioned below the centre of gravity and substantially at the nose of said propulsion device; - an actuator (35A, 35B) associated with each secondary nozzle (33A, 33B) causing a rotation, following a transverse axis of the propulsion device, of the fluid expulsion direction (DE33A, DE33B) of the secondary nozzle in question (33A, 33B) in one of said second median planes (PMA, PMB),