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Nano-satellites have developed rapidly in the fields of communications and remote sensing due to their small size, low cost and flexibility, the number of which has increased dramatically. However, massive amounts of data cannot be effectively transmitted through ground stations or satellite networks due to the growth of transmission demand. To overcome the problem, the nano-satellite network clustering algorithm was designed. Specifically, by clustering nano-satellites, the cluster head can gather remote sensing data and control directives of satellite nodes in the cluster, reduce the collision probability of random transmission, improve the utilization of communication resources and network throughput. We established a random access model of nano-satellites based on a two-dimensional Markov chain, which characterizes the features of the satellite network multiple access process without a carrier sensing …