The rise of 5G technology signifies a pivotal transformation in communication networks, offering unprecedented speed and capacity. However, escalating data demands have exposed the limitations of conventional methods, particularly in managing large data volumes, latency-sensitive applications, and remote connectivity needs. The integration of 5G with Unmanned Aerial Vehicles (UAVs) emerges as a groundbreaking solution, introducing dynamic aerial base stations that can adapt to enhance coverage and efficiency. This paper delves into the intricate task of optimizing energy efficiency within a converged 5G and satellite network, employing the Rao-1 Algorithm to maximize energy efficiency while maintaining optimal device power and association strategies. Our simulations unveil that the zenith of energy efficiency is attained when an equal number of devices connect to both the UAV and the ground station, resulting in a remarkable 65% boost in efficiency compared to the exclusive use of a single communication channel. In summary, the fusion of 5G and UAV technology promises to redefine data transmission, transcending traditional network constraints and exemplifying our ability to leverage technology for societal betterment.