It has been proved that network evolving theory is efficient in network capacity evaluation. Network characteristics analysis is the foundation of network evolving research. For the purpose of satellite communication network capacity evaluation, the method for its network characteristics analysis is investigated in this text. With the definition of timeslice, the-variant topology model and time-invariant topology model, the static characteristics of any satellite network are calculated to determine whether it belongs to any specific network or not. And weighted adjacent matrix is introduced for link availability evaluation. An example of analysis of LEO satellite communication network characteristics is demonstrated at last, which proves the validity of our method for satellite network characteristics analysis.