Satellite communication is an indispensable part of sixth generation of mobile communication systems (6G) given its global coverage and long-distance propagation. Energy consumption and channel acquisition are two critical issues in satellite communication systems. On the one hand, with the rapidly increasing energy wastage in wireless systems, green communication technology has attracted extensive attentions and energy efficiency (EE) becomes the key performance indicator in the transmission scheme design of satellite communications. On the other hand, channel state information (CSI) is well required in designing the beamforming, but it is infeasible for gateway (GW) to acquire accurate CSI at the transmitter (CSIT) due to the long-distance delay. Most of the existing work focused on maximizing the total EE (TEE) or minimum EE (MEE) while tradeoff between TEE and MEE has not been investigated in the satellite communication systems. However, it is of both great theoretical and practical significance for satellite systems to investigate the tradeoff between the TEE and MEE so as to balance the total system performance and the fairness in terms of EE.