 
      

| Animation made from five LROC images of the Apollo 12 landing site, ordered from sunrise to sunset, and showing the changing length and location of the shadow cast by the U.S. flag erected by the crew. The frames are: (1) M131806467LC, Sun 8 degrees above the eastern horizon; (2) M114104917RC, 32 degrees, east; (3) M137699517LC, 59 degrees, west; (4) M117650516RC, 9 degrees, west; (5) M132983773RC , 6 degrees, west. LROC images courtesy NASA/GSFC/Arizona State University. | 
| Detail from AS12-47-6896, taken
              down-Sun early in EVA-1.  A rod is threaded through a
              hem sewn at the top of the flag and a latching hinge at the top of
              the pole was supposed to hold the flag out perpendicular
              to the pole.  The latching mechanism failed, so Pete
              Conrad is holding the flag out for the camera. (Click on
              the image for a larger version.) | 
      
    

    
| Detail from AS12-47-6983, taken late in EVA-1 at about 1455 UTC on November 19, 1969. Anne Platoff's article about the Apollo flags indicates that the flags were 5 by 3 feet (1.5 by 1.0 meters). Because the supporting rod is hanging almost vertically, we can estimate that 6.8 feet (2.1 meters) of the pole is above ground and that the bottom of the flag is about 1.8 feet (0.5 meters) off the ground. The Sun was 9.2 degrees above the horizon and, on level ground the shadow would fall in a range from the pole of 3 to 13 meters. | 
      
    
| Detail from AS12-46-6866, taken
              at about 16:32 UTC on the 19th, after EVA-1.  Solar elevation, 10.0 degrees. Shadow range
              from pole on level ground: 2.8 m to 12 m. (Click on the
              image for a larger version.) | 
Al Bean told Houston that he hammered the lower section of the pole about "a foot" into the ground. The location is marked in Figure 10-50 from the Apollo 12 Preliminary Science Report. and is about 7 meters out from the MESA, halfway between the plus-Z (west) and plus-Y (north) struts.

    
| Detail from Preliminary
                Science Report Figure 10-50, showing the flag
                location.  The LM landed rotated clockwise about 10
                degrees.  The distance between the outer edges of
                footpads on opposite sides of the LM is 9.5
                meters.  The flag is about 12 meters out from the
                MESA. | 

| Detail from AS12-48-7152,
                taken by Al Bean on his way back to the LM at the end of
                the EVA-2 traverse.  Pete Conrad went ahead of Bean
                to start the close-out.  The flag is on the right
                and the erectable S-band antenna in the center. 
                The antenna is connected to the MESA by a 20-foot (6 m)
                cable.  The dish is 3 meters across and the height
                of the supporting tripod is about 2 meters. | 

    
| Detail from LROC image taken
              with the Sun 59 degrees up from the western horizon. | 
    

    
| This stack displays the five
              LROC images details used to make the animation at the top
              of the page.  The vertical yellow lines approximate
              the east-west location of the flagpole. In the early
              morning images at the top of the stack, the flag shadows
              start from points west of the flagpole and end farther
              west.  The situation is reversed for the late
              afternoon images at the bottom of the stack.  The
              vertical red lines approximate the east-west location of
              the S-band antenna.  With the antenna on its side,
              its shadow will be 'attached' to the antenna. | 
What is really being seen in these five
      images is the flag shadow itself and not the flag pole
      shadow.  The flag pole is only about 7/8ths of an inch in
      diameter. LRO cameras can at best see down to 0.45 meters (1.5
      feet) which is the equivalent to one pixel width in the images and
      .55 meters (1.8 feet) which is equivalent to one pixel of
      height.  This resolution is just good enough to see the
      drooped flag shadow (estimated to be from 6 inches to 1.5
      feet).  Even if the drooped flag is narrower than the .45
      meter resolution, since one pixel of the camera’s optics is an
      average over an entire area of coverage, the flag’s shadow can
      substantially dim a large fraction of this area and, on average,
      reduce the pixel illumination even though it cannot blacken it
      completely.
    
The shadows cast by the flag reach
      fairly far.  The astronauts indicate the Apollo 12 landing
      site is fairly flat.  If the slope was significant tilted
      toward East or West, the shadows would be elongated or shortened
      depending on the direction, as would be the case for slight
      craters and hills along the shadow path.  Assuming the flag
      is 2.1 m from the ground to the top of the pole and on a flat
      surface, for the near sunrise image (8 degree elevation), the
      shadow tip would be 15 meters from the flag pole base (which is
      not visible in these images due to the small diameter of the flag
      pole); for the near sunset image (6 degree elevation), the shadow
      tip would be 20 meters) from the flag pole base.  Due to the
      unsupported shape of the flag, a precise comparison of predicted
      versus actual shadow lengths is not possible, as well as
      derivation of flag height from shadow length.
    
Finally, note that in the morning
      images at the top of the LROC stack, the S-band dish shows up as a
      bright spot because sunlight reflecting off the mesh.  In the
      afternoon images, the dish is fainter, suggesting that the tripod
      is pointing east and the transmitter mast is pointing west.
    
| Journal Home Page | Apollo 12 Journal |