A system comprises a constellation of satellites placed in non-geostationary orbit, user terminals located in a coverage area, and N anchor stations able to ensure bidirectional communications with the user terminals by way of at least one satellite. The system furthermore comprises a network of routers interconnected with one another and to the Worldwide Internet Network, each anchor station is connected to the Worldwide Internet Network by way of a router, and each anchor station comprises a management device for managing the handovers to ensure service continuity for the communications. This management device is able to control the handovers between the successive orbiting satellites progressing over the coverage area, the handovers between anchor stations, or the handovers between simultaneously successive satellites and anchor stations.