This paper presents an adaptive algorithm for managing the weight values of the Weighted Round Robin (WRR) scheduler to provide End-to-End (E2E) Quality of Service (QoS) guarantees for Broadband satellite systems. The weight calculation depends on the capacity variations present in the Digital Video Broadcasting-Second Generation (DVB-S2) satellite link. The algorithm is defined to optimize the bandwidth utilization while satisfying the QoS requirements for different traffic classes. The operation of the proposed algorithm is demonstrated using the NS-2 simulator tool. The results show that the proposed adaptive WRR algorithm optimizes the bandwidth utilization while enforces the priority level of each service class when an extreme reduction of bandwidth caused by rain events is experienced in the satellite system.