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Space-based information transmission is the tie between the acquisition and the application of space-based information, and satellite communications network is one of the development tendencies of satellite communication. Some conditions must be satisfied to establish timely communication links between two satellites to provide robust operation and connectivity. This paper addresses the issue of link connectivity analysis of satellite communications network, and discusses the main models for visibility and signal propagation to analyze link connectivity characteristics. The results can be used in satellite network communication system effectiveness evaluation and satellite communication system simulation.