Abstract
This paper discusses the satellite based navigation which is applicable for the guidance of space-crafts flying near the moon and positioning of vehicles moving about the surface of the moon. Several geosynchronous satellites are supposed to be used as range-finding signal sources because the suitable deployment, precise orbit determination and clock correction of these satellites must be performed for accurate navigation. This paper also studies a method of the user's clock synchronization which is useful for the improvement of navigation accuracy, and suggests that the use of very high stable clocks to user equipments is effective for the reduction of frequencies of bi-directional communications by which user's clock synchronization with the satellite's clock is performed.