Method and system for determining navigation parameters of an aircraft

An on-board system for determining navigation parameters of an aircraft comprising:

• at least one single-antenna radio navigation receiver configured to receive radio navigation signals originating from a plurality of radio navigation satellites in sight of the aircraft;
• and
• a processor coupled to said receiver and configured to determine components indicative of the geographic speed {right arrow over (V)} of the aircraft, expressed in a given local fixed coordinate system {{right arrow over (i)}, {right arrow over (j)}, {right arrow over (k)}}, based on the measurements mi of carrier phase increments Δφi of the radio navigation signals, each of said measurements mi constituting an estimate of the relative speed of the aircraft relative to each of the plurality of satellites projected onto the sight axis linking the aircraft to each respective satellite, each of said measurements m, being compensated by the apparent radial speed of the respective satellite.