Recently, non-terrestrial-satellite-networks (NTSN) have attracted more attention due to excellent performance. NTSN specifically refers to a mega satellite constellation network. Global coverage, low latency and high data rate make global interconnection possible. However, the lack of on-board energy degrades the efficiency of the network system. To solve those pressing problems, an energy sensitive and congestion balance (ESCB) routing scheme is proposed in this paper. To compensate for the limited energy of satellites, a tubular sliding time window (TSTW) model is proposed. The residual energy can be predicted by it and a multi-objective algorithm is applied to calculate the routing path. Energy constraints, network congestion and latency are taken into account in the specific algorithm. A traffic model consisting of two different services is introduced as a verification system. Simulations demonstrate that the specific routing scheme achieves energy balance and congestion avoidance. In addition, comparison results demonstrate that ESCB is superior to the virtual-topology-based shortest path (VT-SP) routing algorithm.

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