Star sized light that split into two and mimic'd each others movement

On Basic Traning manuvers at Fort Polk, La. in a remote area of the base around between 11:00 PM and 1:00AM.  
Two of us were in a bunker built in the side of a hill which enabled us to see for several miles above the tree tops. 
We observed what appeared to be a star above the horizon which was moving up and down.   We knew this was no street light beacuse it was too high in the air.  The light did this movement for several minutes then began moving from side to side. There was no noise but we believe it was too far to hear. 
At first we thought it to be a helicopter until it stopped, became brighter, appearing larger then split into two equal size lights approximately an inch apart from our viewpoint which would have made it several yard apart.  These two lights began moving up and down in unison for severl minutes then stopped and began moving from side to side in unison. 
After several minutes of this they stopped, moved towared each other and became as one bright star again then disappeared.  
Since then, I have had two other people tell of similiar sightings from several years apart and different areas.
Source of report indicates that the date of the incident is approximate.  PD