The field of the invention is that of navigation systems serving aboard an aircraft, to determine the position of the aircraft on the basis of measurements of distance separating the aircraft from radionavigation beacons delivered by equipment of the DME type (
Distance Measuring Equipment). It relates to a method for selecting radionavigation beacons using an onboard
navigation system aboard an aircraft from a
list of eligible beacons at an instant t2, a position A(t1) taken by the aircraft in a
reference frame tied to the Earth at an instant t1 prior to t2 being known, a projection of the position of the aircraft onto the 2D terrestrial globe according to the vertical to the aircraft being dubbed the 2D terrestrial position of the aircraft, the eligible beacons being arranged on the terrestrial surface at known positions which are stored in a
database with which the aircraft is equipped,
a domain of employment of an eligible
beacon Bi defining a set of 2D terrestrial positions of the aircraft corresponding to positions of the aircraft for which a measurement of distance separating the aircraft and the
beacon Bi is relevant, an employment zone ZX,Y(θ, t1) of a pair of eligible beacons (BX, BY) being defined by an intersection between the employment domains of the beacons BX and BY and a geometric locus that groups together 2D terrestrial positions of the aircraft for which an angle formed by axes connecting the 2D terrestrial position of the aircraft and the positions of the beacons BX and BY is greater than a predefined value θ, the employment zone ZX,Y(θ, t1) being delimited by a boundary. According to the invention, a step for formulating a criterion for selecting a pair of beacons (BX, By) from among the beacons forming part of the
list of eligible beacons, and in that the
selection criterion is based on a search for a
maximum duration of membership, for instants subsequent to the instant t1, for which the 2D terrestrial position of the aircraft belongs to the zones of employment of all the pairs of beacons achievable from among the eligible beacons, on the basis of a given predictive trajectory of the aircraft.