click on the image for a larger version

Unfortunately, there was a mistake in the range of the original plots. (These things happen when you rush to get things put up on the blog as soon as possible. Im sorry about that!) The observed pitch angle is still very shallow but less so that I originally thought. However, I am still of the opinion that this trajectory is more consistent with an ICBM type flyout that tries to maximize range than a space launch vehicle. Here is my original post:

This question is not going to be answered with one set of data but the pitch program, as determined by the contrail observed in the DigitalGlobe/Globalsecurity.org image is more consistent with an ICMB trying to maximize its range than a space launch vehicle. The one remaining uncertainty, for me, was DigitalGlobe’s time of imaging. They reported 11:32:00 local time, which seems very round to me. So I thought I’d look at the effects of a 30 second uncertainty in when the image was taken. That is shown in the graph of trajectory above. It’s much shallower than I would have expected if it was trying to maximize the orbit. So I am now favoring the hypothesis that North Korea was testing both the missile and an important part of the guidance program of an ICBM with this test. Since the missile appears to have succeeded in second stage separation and ignition, then this was a highly significant accomplishment for them.

Update: I have come to realize, surprise, surprise, that I have not explained myself very clearly. I want to apologize to my readers; my only excuse is that I got very excited about this analysis. Hopefully, this image should help explain things.

click on the image for a larger version

If you look at this image, the contrail, as projected against the ground is in the lower right corner and are represented as circular targets. ( You can find a GoogleEarth overlay of the contrail here.) The points in the “orbital plane”—the plane the rocket travels in, are shown as diamonds with little sticks connecting them to the ground (and are in the center left). These are the reconstructed points through which the rocket actually passed. If you were to connect the ground points with their corresponding trajectory point and continue on into space, they would all intersect at the location of the Worldview-1 satellites. And if you were to draw a line through the places where the space points’ sticks touch the Earth, it would pass through the launch pad, even if it doesn’t look like it would from this perspective.

Update: After discussions with David Wright, I went back and re-checked my calculations and, unfortunately, there was a problem with calculating the positions of the contrail from the alternate satellite positions. In particular, the position assuming the image was taken 30 seconds later than DigitalGlobe stated seems to indicate a considerably steeper raise to the missile so it is possible that could account for differences between this and David’s model. We will have to see if that timing is more consistent. The trajectory is so sensitive to this timing because the image is taken at such a slanting angle. I doubt that DigitalGlobe or any other image provider would normally take such oblique angles. However, it is also clear that DigitalGlobe was trying to maximize its chances of seeing the launch. I suspect all the different commercial (and governmental?) satellites were also imaging the launch pad at large angles. I would guess that DigitalGlobe could see the launch site for at about 5 minutes before and 5 minutes after it passes directly over the launch site. That in itself improves the chances of seeing the launch to about 1%. If you include the other photoreccon satellites, this probability could “climb” to 5% or greater. So this was hardly the “1 in a million” chance that some satellite would photograph it that has been bandied about.