In this paper the main problems taking place when organizing consistent network interaction in distributed systems of a virtual reality are considered. In particular, the physical limitations influencing reliability of data exchanges between users are considered, and their analytical estimation is given. Then an overview of modern methods that allow to overcome these limitations is provided, such as dead reckoning. Finally, the new adaptive dead reckoning method is proposed to reduce data exchanges between clients considerably while saving desirable state prediction accuracy of corresponded objects. Moreover this method allows to lower the reliability requirements for data transfer in a network using less reliable, but faster and more efficient protocols, such as UDP.