Analysis of node density and probability of forming a network in military aeronautical Ad Hoc networks

As the further progress of ad hoc networks, people begin to study its application in aeronautical communications. Some achievements have been made in foreign countries, but in our country there are no studies yet. Other than common usage, in aeronautical communication, the nodes have a higher speed and a lower node density and the frequency is the U/VHF. Among these characters, the low node density is the chief one as it determines whether or not can form an aeronautical ad hoc network. The paper presents a model of the military aeronautical ad hoc network (MAANET) and analyses the relationship of the node density and probability of forming a network. Gives two exact formulas using the thought of Bernoulli experiment, one is about the number of nodes in a special area and its probability in different node densities, the other is about the node density and the probability to form a network. And finally checks them with simulations. It is a useful reference for further study of the MAANET.