| 
              
             | 
            
             
               
             
             | 
            
           
            
              
             | 
            
             
              
               The 
                        long duration balloon in flight
                
               shortly after launch. Click to enlarge.
              
             
             | 
            
           
            | 
              
             | 
            
              
             | 
            
           
          
           
            | 
              
              
               The 
                          Balloon Illusion
              
              
             | 
            
           
            
              
             | 
            
           
          
           
            
             Believe 
                  half of what you see.
            
           
            
           by Paul Doherty
          
          
           
            January 
                    2, 2002
           
           
          
           
            On 
                    December 21, 2001 a long duration balloon was launched near 
                    McMurdo station in Antarctica. A balloon launch is different 
                    from a rocket launch. When the balloon is released it departs 
                    in complete silence. After release, the balloon rises in slow 
                    motion. Over four hours it rises to its final altitude of 
                    120,000 feet or 24 miles (36 km) ascending an average of 500 
                    feet per minute.( I have a hard time running uphill at 50 
                    feet per minute.) Then it holds its altitude in the stratosphere 
                    while winds blow it on a circular path around Antarctica.
           
           
          
           
            | 
              
             | 
            
             
               
             
             | 
            
           
            
              
             | 
            
             
              
               A 
                        view of a balloon fully inflated above 100,000 ft. Click 
                        to enlarge.
              
             
             | 
            
           
            | 
              
             | 
            
              
             | 
            
           
          
           
            The 
                    higher the balloon rises, the lower the air pressure at its 
                    elevation. The helium inside the balloon expands in the lower 
                    pressure environment. The helium bubble inside the balloon 
                    initially has a diameter of 150 feet (45m), when the balloon 
                    reaches cruising altitude it is a sphere 900 feet (270m) in 
                    diameter.
           
           
          
           
            The 
                    volume of the balloon doubles after it rises to 18,000 feet 
                    (5500m) then doubles again by 35,000 feet(11,000m). Above 
                    35,000 feet the volume doubles every 15,000 feet (4,500 m). 
                    By the time the balloon reaches 120,000 feet it has doubled 
                    its volume 8 times, so its volume is 2^8 or 256 times larger. 
                    As the balloon rises through the lowest layer of the atmosphere, 
                    the troposphere, the temperature decreases below -40 C. However, 
                    when the balloon enters the stratosphere the temperature remains 
                    approximately constant.
           
           
          
           
            
             A 
                    Size-Distance Illusion
            
           
           
          
           
            | 
              
             | 
            
              
             | 
            
           
            
              
             | 
            
             
              
               To 
                        the naked eye, the balloon at altitude looks slightly 
                        smaller than the full moon. Click to enlarge.
              
             
             | 
            
           
            | 
              
             | 
            
              
             | 
            
           
          
           
            I watched the balloon rise more and more slowly and then stop 
                    rising. This was an illusion. The balloon was still rising, 
                    and yet it appeared to stop. If the balloon were a constant 
                    size object it would get smaller and smaller as it moved away 
                    from me. However, the balloon was growing in diameter as it 
                    rose. If I see an object growing in size and there are no 
                    other clues to its distance, I assume it is moving toward 
                    me. At one altitude near 75,000 feet (23,000 m)as the balloon 
                    rises, it grows in volume at just the right rate to keep its 
                    apparent size constant. Even though it is moving away from 
                    me the balloon image stays the same size on my retina and 
                    I "see" it standing still. As the balloon rises 
                    at first it looks like it is getting smaller then above 75,000 
                    feet it gets larger again.
           
           
          
           
            At 
                    120,000 feet the 900 foot diameter balloon has an angular 
                    diameter of 0.4 degrees. Its diameter is 80% the size of the 
                    sun or the full moon. Many pilots have seen these balloons 
                    and reported that they needed to change their flight path 
                    to avoid colliding with the balloon. Even though the balloon 
                    was over 20 miles higher than they were. There were no clues 
                    about the size of the balloon so they had no idea how far 
                    away it was.
           
           
          
           
            
             Balloons 
                    as UFOs
            
           
           
          
           
            The 
                    balloon is so far away that if you drive along the ground 
                    it stays in the same position relative to you. (Note that 
                    as you drive nearby trees rapidly move backwards, but distant 
                    mountains seem to stay in the same place.) To many people 
                    the balloon in the sky appears to follow them. When these 
                    high altitude balloons are launched over populated areas many 
                    UFO reports are made.
           
           
          
          |