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Today most of the satellite systems are designed in Low Earth Orbit (LEO) satellite systems.Because the satellites which are located in these orbits have small propagation delays than the satellites in other orbits. And also the closeness of LEOs to the earth gives them an advantage that there isn’t any need to the more power for having a communication with earth stations.In this study, we consider a new routing algorithm. For the routing operation we use the Genetic Algorithms, which is the most known technics about the optimization problems. Hence we match each path in the satellite system with a structure in genetic algorithms. Lastly we obtain the most appropriate paths.