A method for selecting a set of usable visible satellites (LSVU) from among a set of visible satellites of a constellation of localisation satellites, to determine an instantaneous kinematic state (E(t)) of a guided vehicle, constrained to move along a track, such as for example a train, a tramway, a metro, the method including the steps consisting, for each satellite (i) of the set of visible satellites, of: - calculating an measured instantaneous value (Di, PDi) of a quantity from among a Doppler coefficient and a pseudo-range, from the signal received from said visible satellites; - determining an estimated instantaneous value (D*i, PD*i) of said quantity, from the instantaneous position of the satellite indicated by an ephemeris and the estimated position (P*(t)) indicated in an estimated instantaneous kinematic state (E*(t)) of the guided vehicle; - comparing the measured and estimated instantaneous values according to a criterion, and in case of noncompliance with said criterion; - deleting said satellite from a set of usable visible satellites, characterised in that the step for determining an estimated instantaneous value of said quantity comprises the following sub-steps consisting of: - extracting information pertaining to a section of the track along which the train circulates between a previous moment (t-1) and a current moment from a cartography of the track and according to a kinematic state of the guided vehicle determined at the previous moment (E(t-1)); - determining the estimated instantaneous kinematic state (E*(t)) using a dynamic model of the guided vehicle that uses only: ∘ a kinematic state of the guided vehicle determined at a previous moment (E(t-1)), and ∘ the information pertaining to the section of the track along which said guided vehicle moves. - calculating an measured instantaneous value (Di, PDi) of a quantity from among a Doppler coefficient and a pseudo-range, from the signal received from said visible satellites; - determining an estimated instantaneous value (D*i, PD*i) of said quantity, from the instantaneous position of the satellite indicated by an ephemeris and the estimated position (P*(t)) indicated in an estimated instantaneous kinematic state (E*(t)) of the guided vehicle; - comparing the measured and estimated instantaneous values according to a criterion, and in case of noncompliance with said criterion; - deleting said satellite from a set of usable visible satellites, - extracting information pertaining to a section of the track along which the train circulates between a previous moment (t-1) and a current moment from a cartography of the track and according to a kinematic state of the guided vehicle determined at the previous moment (E(t-1)); - determining the estimated instantaneous kinematic state (E*(t)) using a dynamic model of the guided vehicle that uses only: ∘ a kinematic state of the guided vehicle determined at a previous moment (E(t-1)), and ∘ the information pertaining to the section of the track along which said guided vehicle moves. ∘ a kinematic state of the guided vehicle determined at a previous moment (E(t-1)), and ∘ the information pertaining to the section of the track along which said guided vehicle moves.