  This paper presents a new method to obtain the distance distribution between
the mobile node and any reference node in a regular hexagon. The existing
distance distribution research mainly focuses on static network deployment and
ignores node mobility. This paper studies the distribution of node distances
between mobile node and any reference node. A random waypoint (RWP) migration
model is adopted for mobile node. The Cumulative Distribution Function (CDF) of
the distance between any reference node (inside or outside the regular hexagon)
and the mobile node (inside the regular hexagon) is derived. The validity of
the results is verified by simulation.
