The SwRI contingent of the New Horizons post-Pluto encounter target search team during one of our daily phone meetings in Marc Buieâs office.
L to R: Marc Buie, Alex Parker (Berkeley), John Spencer, Cathy Olkin, Anne Verbiscer (UVA), and Simon Porter.
Our first Hubble Space Telescope images were taken on June 16. Â The last set of image were taken on June 26. Â If we didnât find 2 objects by June 30, the folks at Space Telescope Science Institute (who manage HST) wouldnât be able to plan our the rest of our program in time for its July 7 start date. Â We basically dropped everything that we were doing to work on the search until we got something. Â Alex flew out from Berkeley on a one-way ticket. Â Marc, who had trips to Hawaii and Finland planned during that time, had to cancel both of them. Â Read that last sentence again.
Meanwhile, the New Horizons spacecraft was scheduled to come out of hibernation. Â Members of the science team participated in a dry run for encounter time: Â they practiced studying mock images and preparing a press release about what they found under a clock. Â We didnât do any of that because we had to focus all of our efforts on the encounter search.
The Hubble Space Telescope images are quite different from ground-based images, and we took an entirely different approach from what IÂ described in my last KBO search post.
Explaining what made this so demanding is a little on the technical side, but Iâm going to give it a shot. Â This blog has an âaskâ feature if you want to know more.
From HSTâs perspective outside Earthâs atmosphere, the stars stand still. Â From image to image, you can find them in the same place with the same shape and brightness, so itâs easy to remove them cleanly. Â This is fantastic news: without the atmosphere, starlight isnât so smeared and they appear smaller, so itâs less likely that starlight will blend into a KBO, making it impossible to spot. Â WFC3 (the HST camera we used) has higher resolution than most ground-based cameras to accommodate HSTâs sharpness. Â
Yet these advantages come at a price. Â In pixel-space, our KBOs can move a rather larger distance, making it hard for the eye to spot it, the way the KBOs jump out in ground-based data when you shuffle through images in rapid succession. Â Our atmosphere also does a reasonable job at shielding us from cosmic rays. Â You still seem them in images taken at sea level, but wow-oh-wow do HST images have cosmic rays. Â Cosmic rays show up in images as bright white dots and streaks, and Iâm not exaggerating when I say that they are as many of them as there are stars in some images. Â Did I mention we are looking in the star-choked galactic plane? Â Thatâs a lot of cosmic rays.
With these problems, taking two images and blinking them simply wasnât feasible. Â I wasnât the only person who, used to the old method, required a lot of convincing. Â Thus our team came up with the novel idea of stacking shifted images.Â
Letâs see how well I can write this out:
In my last post, I talked about hunting for KBOs in the ground-based Magellan data. Â I found 94 main-belt asteroids and 6 Kuiper belt objects, only two of which even have the possibility of being targetable (the better of those two had been found by our team in previous years and was known not to be reachable.) Â Well, objects in our solar system appear to move relative to background stars in pictures, and the closer an object is, the further it will have moved between two images. Â We also know that an object with high inclination (i.e. has a tilted orbit like Pluto does), will be out of our reach. Â Thus, the only objects that will work are objects called âcold classicals.â Â
We found that for a typical search field set (a set of 5 images, and then another set of 5 taken a few hours later), that 19 different orbit rates were sufficient to describe all the cold classical orbits that would work for New Horizons. Â For example, letâs say there was a KBO with an orbit that most closely resembled Possible Orbit #7. Â Between images 1 and 3 in the first set, we could expect our object to travel 17 pixels up and 13 pixels to the left, no matter where it was on the image. Â If it matched Possible Orbit #8, it would have moved 20 pixels up and 15 pixels to the left. Â However, if it matched Possible Orbit #11, it would have travelled 30 pixels up and 10 pixels to the left.Â
So we took image 1, and made a copy with the entire picture shifted 17 pixels up and 13 pixels to the left. Â We also made copies that were shifted 20 up and 15 left, as well as 30 up and 10 left. Â Basically, we 19 different versions of image 1 for every Possible Orbit. Â And then, 19 times over, we calculated what we needed to make images 2, 4 and 5 match image 3 too. Â So if there was a KBO that matched Possible Orbit #7, it would now show up *in the exact same place* in each of the five images in the shift set for Possible Orbit #7. Â It would move a little, but wouldnât travel too far between images in the shift set for Possible Orbit #8 Â (the edges of the KBO might overlap between images). Â The object certainly would not line up from image to image in the shift set for Possible Orbit #11!
We took the five images for each of the 19 Possible Orbitâs shift sets and run a modified median filter on them, to make a single combined image. Â Only bright spots that registered on most images would make it through. Â Not all things that made it through were KBOs. Â We could have bad luck and there would be a cosmic ray or a bit of a core of a star that showed up in the same place multiple times. Â Even so, we could take this image and create a list of possibilities and vet these possibilities as potential objects. Â
A real object would be of a certain brightness (absolute mag of about +27, for you astronomer folks who know what that means).  A real object would also show up in the *other* set of five images at the predicted location (also stacked and filtered in the same way).  We would not expect that the brightness of the potential object would be especially different from the first set to the second set.  We would also see a fainter, more spread-out version of it in other stack images we made  (i.e. an object that had an orbit that matched Possible Orbit #7 would appear in Possible Orbit #8âs stack image too).  When we pulled up the original images, we should see it on all 10 images, discounting bad luck with stars and cosmic rays.  Success!
Of course this is all slightly more complicated than I made it out to be here. Â The number of Possible Orbits for each set of fields depended on whether HST managed to take the entire set of 5 images before it got blocked by the Earth (this happens every 90 minutes). Â If that happened, the set of five images would be taken over a much longer period of time, and weâd have to make 78 orbit groups, instead of 19. Â
To make matters worse, the group of Possible Orbits were slightly different for each of the 20 visit pairs in pilot program as well (because the time between images didnât match up perfectly). Â Thus Possible Orbit #7 in Visits 3 and 4 did not stand for the same KBO motion as the Possible Orbit #7 for Visits 5 and 6. Â Luckily, careful computer programming allows you to get around all this.
While the shift-stacking technique worked out really well for us, you would not want to use it to search for other kinds of unknown objects in the Solar System. Â For one, there would be too many stacks to make. Â We only cared about KBOs with very particular orbits that New Horizons could reach, but many KBOs have highly inclined orbits, so weâd have to create more possible orbits that point at different angles. Â We also have to include many different speeds for objects closer to the sun, such as main belt asteroids were moving at different rates. Â Even with just 19 Possible Orbits, 10 images became 228 images (19 rates * (5 images per visit + 1 stack) * 2 visits ). Â I hope you have some good computers. Â Our uncompressed images are 168Â MB each, so thatâs 38GB. Â We had 20 of these visit sets. You can kiss your entire hard disk goodbye pretty quick with this project.
Nonetheless, itâs a very cool way to solve a the problem, and it worked. Â In my next KBO search post, Iâll talk about my role in all of this, and show you our new KBO object friends.