Abstract: Following a call set-up request transmitted by a terminal of a given user of a telecommunications system using a constellation of non-geostationary satellites, the terminal reserves a channel in the cell in which it is located and in neighboring cells not including all the cells it will have to cross during a predetermined time period. For each cell where a channel has not been reserved, the given user's terminal waits until it is at a predetermined distance from its point of handover into the cell, equal to the greatest distance a user can travel in the cell, before transmitting a reservation request. The call set-up request is accepted only if a condition relating to the number of other users near the given user at the time of the call set-up request is satisfied.