First Direct Image of Multiple Exoplanets Orbiting a Star

First Direct Image of Multiple Exoplanets Orbiting a Star | Wired Science from

Wow! This is an amazing and a serious blast from the past. It’s amazing because it’s the first time we have an image of an entire solar system. It’s a blast from the past because the images were taken using the Gemini North and W.M. Keck Observatory telescopes. OK, this is not the first time planets have been discovered. In fact, over 300 have been identified, but none with direct imaging. All previous planets were identified with a process called spectroscopy, which measures the slight wobble of a star as it is pulled by orbiting planets.

The problem with spectroscopy is that you only see the effects of the planet. We’ve never actually seen a planet until now. For a guy that often spends hours looking out on a clear night sky contemplating the universe, this has me giddy.

Now, why is this a blast from the past? If you check out my resume, you will see that I worked at Itek Optical Systems right out of college. Itek doesn’t exist anymore, but for a time they were at the top of the optical food chain. Mostly, Itek did work for NASA and the DOD because they were the only ones that needed and could afford what they built. However, Keck was large enough (and well funded) that Itek was one of the few firms in the world that could make it work.

Now, you’re probably thinking “What the hell does a 10 meter telescope need a software geek for?” Turns out, you can’t make a mirror 10 meters across that will support itself. It would have to be too thick and heavy. Therefore, you have to build it in pieces — 36 hexagons in this case. It’s the pieces that majorly complicate things. Normally, you want to build as accurate a main mirror as possible, but you always know that you can fix things up with secondary optics. This is very similar to a pair of glasses, and exactly what was done to Hubble when it returned blurry images at first. (BTW, Itek lost the Hubble contract because their proposal had the $700K fully assembled test that would have caught this problem. $700k sounds like a lot, but it was a whole lot less than the millions necessary to fix Hubble in space later). Unfortunately for Keck, an error in one of the 36 hexagons could not be fixed in secondary optics. Therefore, the each mirror segment had to be built to exacting specifications (within a few microns). Still, what do you need a software guy for? Three things actually.

First, the Keck mirror is more like a big parabola. As a result, each section is not symmetrical about its center, and that makes it extremely difficult to grind and polish with any degree of accuracy. The solution to the problem was to stress each piece to change its shape. Then you grind and polish to a symmetrical shape. Finally, you remove the stresses and the piece will pop to the asymmetrical shape you want. The trick was to calculate how much and where to stress the piece. I make no claim to understand the formulas required to make this happen, but someone had to write the code to spit out the results.

Second, you have to know when you are done grinding and polishing. Each section had to polished to within a few microns of the desired shape. That shape was defined using Zernike coefficients. To measure the piece, you used a carbon bar with sensors to measure height. You rotated the bar around the piece and measured the sensor heights along the line. Once you had a bunch of measurements, you needed to do a whole lot of matrix calculations to figure out the coefficients. This program was pretty straight forward.

Finally, once the piece was complete, we wanted to really know exactly what each piece looked like. That required a laser interferometer. Here is the problem though. Each piece was 2 meters across, and that required the laser source to be far enough away from the piece to require an extra mirror than normal (2 total). On top of that, minor temperature changes caused things to move around. To get an accurate measurement, you had to know exactly where everything in the room was. To figure that out, we used surveying equipment. Now, you should be asking why do we care where everything is. The reason is those two mirrors. Itek was one of the best optical manufacturers on the planet, and they made two of the flattest mirrors ever. However, that wasn’t good enough for Keck because the defects in the flat mirrors were larger than the tolerances for Keck (it is REALLY hard to make something perfectly flat). Therefore, we had to come up with a way to remove the effects of the flat mirrors, and to do that we had to know exactly where they were.

So, your laser light path is:

  1. laser source
  2. 1st flat mirror
  3. Piece being measured
  4. 2nd flat mirror
  5. Piece being measured
  6. 1st flat mirror again
  7. Instrument

Using all the surveying data and extremely accurate data about the mirrors, my program would do all the coordinate system transformations necessary to subtract the influence of the two flat mirrors on the resulting measurements. Again, this was a lot of matrix calculations. On an old Intel 386 (remember those?), it took about 30 minutes to solve all the equations.

All this was fun stuff for a young man right out of college to be trusted with. Here it is 20 years later, and I’m still reminded of those 2 years when a story like this comes up, or I walk by a magazine rack with Keck on the cover.






5 responses to “First Direct Image of Multiple Exoplanets Orbiting a Star”

  1. Michael Kreppein Avatar

    Great posting, one of my favorites since the one about the high seas salvage!

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    […] on the theme of interesting optics, Andrew Hicks, a mathematician, has created mirrors that accomplish some amazing feats. Imagine […]

  4. Kaeden Avatar

    Wait, I cannot fathom it being so straightfroward.

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    […] I’ve said before that I worked on the Keck Telescope (see this post). I love seeing what is still a favorite project of my professional life. Those 36 (now 72) mirrors […]

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