Marc RaymanNov 29, 2016

Dawn Journal: Maneuvering for Science

Dear Decadawnt Readers,

Blue rope lights adorn Dawn mission control at JPL, but not because the flight team is in the holiday spirit (although they are in the holiday spirit). The felicitous display is more than decorative. The illumination indicates that the interplanetary spacecraft is thrusting with one of its ion engines, which emit a lovely, soft bluish glow in the forbidding depths of space. Dawn is completing another elegant spiral around dwarf planet Ceres, maneuvering to its sixth science orbit.

Dawn’s ion propulsion system has allowed the probe to accomplish a mission unlike any other, orbiting two distant extraterrestrial destinations. Even more than that, Dawn has taken advantage of the exceptional efficiency of its ion engines to fly to orbits at different altitudes and orientations while at Vesta and at Ceres, gaining the best perspectives for its photography and other scientific investigations.

Occator crater on Ceres' limb
Occator crater on Ceres' limb Dawn took this picture on Oct. 16 in its fifth mapping orbit at an altitude of 920 miles (1,480 kilometers). The most salient feature is Occator Crater at upper left, with its famous and intriguing bright regions, composed of reflective salt (principally sodium carbonate) left on the ground when briny water sublimated. We have seen other appealing views of Ceres’ limb, but those were opportunistic, showing whatever landscape happened to be in view when Dawn was rotating to point its main antenna at Earth. In this case, however, mission controllers instructed Dawn to turn to photograph Occator when they knew it would be near the limb. This was part of the observing campaign explained last month. This perspective of Occator is different from the others we have presented in past Dawn Journals, most recently in July. Dawn was northeast of Occator Crater when it took this picture, so it was looking southwest. As a result, the grouping of secondary bright regions is to the left of the primary bright feature, and we are looking over the sizable crater on Occator’s north rim. A bright region on a planet is known as a facula, and the International Astronomical Union approved names for the faculae in Occator last week, just in time for this Dawn Journal. The central one, the brightest and largest on Ceres, is Cerealia Facula, and the others are collectively now known as Vinalia Faculae. (Cerealia was a Roman festival to honor Ceres. Vinalia was a Roman wine festival held twice a year. Here is the naming convention for features on Ceres.) You can see them more clearly in the photo presented in July and the pictures shown in March. Occator is on this map at 20°N, 239°E. Full image (with different picture adjustments) and caption.Image: NASA / JPL-Caltech / UCLA / MPS / DLR / IDA

Dawn has thrust for a total of 5.7 years during its deep-space adventure. All that powered flight has imparted a change in the ship’s velocity of 25,000 mph (40,000 kilometers per hour). As we have seen, this is not the spacecraft’s actual speed, but it is a convenient measure of the effect of its propulsive work. Reaching Earth orbit requires only about 17,000 mph (less than 28,000 kilometers per hour). In fact, Dawn’s gentle ion engines have delivered almost 98 percent of the change in speed that its powerful Delta 7925H-9.5 rocket provided. With nine external rocket engines and a core consisting of a first stage, a second stage and a third stage, the Delta boosted Dawn by 25,640 mph (41,260 kilometers per hour) from Cape Canaveral out of Earth orbit and onto its interplanetary trajectory, after which the remarkable ion engines took over. No other spacecraft has accomplished such a large velocity change under its own power. (The previous record holder, Deep Space 1, achieved 9,600 mph, or 15,000 kilometers per hour.)

Early this year, we were highly confident Dawn would conclude its operational lifetime in its fourth orbit at Ceres (and remain there long after). But unexpectedly healthy and with an extension from NASA, Dawn is continuing its ambitious mission. After completing all of its tasks in its fifth scientific phase at Ceres, Dawn is pursuing new objectives by flying to another orbit for still more discoveries. Although we never anticipated adding a row to the table of Dawn’s orbits, last presented in December 2015, we now have an updated version.  

Ceres
orbit
Dawn code
name
Dates
(mo.day.yr)
Altitude
in miles
(km)
Resolution
in ft (m)
per pixel
Orbit
period
Equivalent
distance of a soccer ball
1RC3  04.23.15 – 05.09.158,400
(13,600)
4,200
(1,300)
15
days
10 ft
(3.2 m)
2Survey  06.06.15 –06.30.152,700
(4,400)
1,400
(410)
3.1
days
3.4 ft
(1.0 m)
3HAMO  08.17.15 – 10.23.15915
(1,470)
450
(140)
19
hours
14 in
(34 cm)
4LAMO/
XMO1
  12.16.15 – 09.02.16240
(385)
120
(35)
5.4
hours
3.5 in
(9.0 cm)
5XMO2  10.16.16 – 11.04.16920
(1,480)
450
(140)
19
hours
14 in
(35 cm)

As with the obscure Dawn code names for other orbits, this fifth orbit’s name requires some explanation. The extended mission is devoted to undertaking activities not envisioned in the prime mission. That began with two extra months in the fourth mapping orbit performing many new observations, but because it was then the extended mission, that orbit was designated extended mission orbit 1, or XMO1. (It should have been EMO1, of course, but the team’s spellchecker was offline on July 1, the day the extended mission started.) Therefore, the next orbit was XMO2. Dawn left XMO2 on Nov. 4, and we leave it to readers’ imaginations to devise a name for the orbit the spacecraft is now maneuvering to.

Surprisingly, Dawn is flying higher to enhance part of the scientific investigation that motivated going to the lowest orbit. We have explained before that Dawn’s objective in powering its way down to the fourth mapping orbit was to make the most accurate measurements possible of gravity and of nuclear radiation emitted by the dwarf planet.

For more than eight months, the explorer orbited closer to the alien world than the International Space Station is to Earth, and the gamma ray spectra and neutron spectra it acquired are outstanding, significantly exceeding all expectations. But ever-creative scientists have recognized that even with that tremendous wealth of data, Dawn can do still better. Let’s look at this more carefully and consider an example to resolve the paradox of how going higher can yield an improvement.

Ceres' limb
Ceres' limb Dawn had this view of Ceres’ limb on Oct. 16 at an altitude of 920 miles (1,480 kilometers). The probe took this picture about 12 minutes after the picture above of Occator Crater. By this time, Dawn’s orbital motion had taken the center of Occator out of the view, but most of the shadowy eastern part is still visible at upper left. A Cerean day lasts about nine hours, so in the time between these two pictures, Ceres rotated as much as Earth would rotate in about 32 minutes. As a result, the change in the sun angle is quite noticeable. You can compare some craters in the two pictures to see how the lighting has changed. This is particularly evident not only in Occator but also in the crater near the center of the large crater visible here (on the lower right of the first picture) as well as the craters below and to the left of it. At the bottom right of this picture is part of the 45-mile (72-kilometer) Kaikara Crater. (Kaikara is a harvest goddess in the kingdom of Bunyoro in Uganda.) You can locate this scene on this map, with Kaikara at 43°N, 222°E and Occator at 20°N, 239°E. Full image (rotated differently and with different picture adjustments) and caption.Image: NASA / JPL-Caltech / UCLA / MPS / DLR / IDA

The gamma ray and neutron detector (GRaND) reveals some of Ceres’ atomic constituents down to about a yard (meter) underground. The principal limitation in analyzing these spectra is "noise." In fact, noise limits the achievable accuracy of many scientific measurements. It isn’t necessarily the kind of noise that you hear from loud machinery (nor from the mouth of your unhelpful parent, inattentive progeny or boring and verbose coworker), but all natural systems have something similar. Physical processes other than the ones of interest make unwanted contributions to the measurements. The part of a measurement scientists want is called the "signal." The part of a measurement scientists don’t want is called the "noise." The quality of a measurement may be characterized by comparing the strength of the signal to the strength of the noise. (This metric is called the "signal to noise ratio" by people who like to use jargon like "signal to noise ratio.")

We have discussed that cosmic rays, radiation that pervades space, strike atomic nuclei on Ceres, creating the signals that GRaND measures. Remaining at low altitude would have allowed Dawn to enhance its measurement of the Cerean nuclear signal. But scientists determined that an even better way to improve the spectra than to increase the signal is to decrease the noise. GRaND’s noise is a result of cosmic rays impinging directly on the instrument itself and on nearby parts of the spacecraft. With a more thorough measurement of the noise from cosmic rays, scientists will be able to mathematically remove that component of the low altitude measurements, leaving a clearer signal.

For an illustration of all this, suppose you want to hear the words of a song. The words are the signal and the instruments are the noise. (This is a scientific discussion, not a musical one.) It could be that the instruments are so loud and distracting that you can’t make the words out easily.

You might try turning up the volume, because that increases the signal, but it increases the noise as well. If the performance is live, you might even try to position yourself closer to the singer, perhaps making the signal stronger without increasing the noise too much. (Other alternatives are simply to Google the song or ask the singer for a copy of the lyrics, but those methods would ruin this example.)

If you’re doing this in the 21st century (or later), there’s another trick you can employ, taking advantage of computer processing. Suppose you had a recording of the singing with the instruments and then obtained separate recordings of the instruments. You could subtract the muscial sounds that constitute the noise, removing the contributions from both guitars, the drums, the harp, both ukuleles, the kazoo and all the theremins. And when you eliminate the noise of the instruments, what remains is the signal of the words, making them much more intelligible.

To obtain a better measure of the noise, Dawn needs to go to higher altitude, where GRaND will no longer detect Ceres. It will make detailed measurements of cosmic ray noise, which scientists then will subtract from their measurements at low altitude, where GRaND observed Ceres signal plus cosmic ray noise. The powerful capability to raise its orbit so much affords Dawn the valuable opportunity to gain greater insight into the atomic composition. Of course, it’s not quite that simple, but essentially this method will help Dawn hear Ceres’ nuclear song more clearly. 

Shadows on Ceres
Shadows on Ceres Dawn took this photo on Oct. 17 at an altitude of 920 miles (1,480 kilometers). Above and to the right of center, part of the wall of a crater has collapsed, allowing material to flow into the larger crater. The area covered by the flow is less densely cratered than the surrounding terrain, because it is younger. We have seen how scientists use the number and size of craters to date geological features (no results are available yet in this area). The larger crater is Ghanan, one of the names of a Mayan maize god, although the devastating flow may not have been good for the maize harvest when the collapse occurred. Ghanan Crater, with an average diameter of 42 miles (68 kilometers), is on this map at 77°N, 31°E. Full image (with different picture adjustments) and caption.Image: NASA / JPL-Caltech / UCLA / MPS / DLR / IDA

To travel from one orbit to another, the sophisticated explorer has followed complex spiral routes. We have discussed the nature of these trajectories quite a bit, including how the operations team designs and flies them. But now they are using a slightly different method.

Those of you at Ceres who monitor the ship’s progress probably wouldn’t notice a difference in the type of trajectory. And the rest of you on Earth and elsewhere who keep track through our mission status updates also would not detect anything unusual in the ascent profile (to the extent that a spacecraft using ion propulsion to spiral around a dwarf planet is usual). But celestial navigators are now enjoying their use of a method they whimsically call local maximal energy spiral feedback control.

The details of the new technique are not as important for our discussion here as one of the consequences: Dawn’s next orbit will not be nearly as circular as any of its other orbits at Ceres (or at Vesta). Following the conclusion of this spiral ascent on Dec. 5, navigators will refine their computations of the orbit, and we will describe the details near the end of the month. We will see that as the spacecraft follows its elliptical loops around Ceres, each taking about a week, the altitude will vary smoothly, dipping below 4,700 miles (7,600 kilometers) and going above 5,700 miles (9,200 kilometers). Such a profile meets the mission’s needs, because as long as the craft stays higher than about 4,500 miles (7,200 kilometers), it can make the planned recordings of the cacophonous cosmic rays. We will present other plans for this next phase of the mission as well, including photography, in an upcoming Dawn Journal.

As Dawn continues its work at Ceres, the dwarf planet continues its stately 4.6-year-long orbit around the sun, carrying Earth’s robotic ambassador with it. Ceres follows an elliptical path around the sun (see, for example, this discussion, including the table). In fact, all orbits, including Earth’s, are ellipses. Ceres’ orbit is more elliptical than Earth’s but not as much as some of the other planets. The shape of Ceres’ orbit is between that of Saturn (which is more circular) and Mars (which is more elliptical). (Of course, Ceres’ orbit is larger than Mars’ and smaller than Saturn’s, but here we are describing how much each orbit deviates from a perfect circle.)

When Ceres tenderly took Dawn into its gravitational embrace in March 2015, they were 2.87 AU (267 million miles, or 429 million kilometers) from the sun. In January 2016, we mentioned that Ceres had reached its aphelion, or greatest distance from the sun, at 2.98 AU (277 million miles, or 445 million kilometers). Today at 2.85 AU (265 million miles, or 427 million kilometers), Ceres is closer to the sun than at any time since Dawn arrived, and the heliocentric distance will gradually decrease further throughout the extended mission. (If the number of numbers is overwhelming here, you might reread this paragraph while paying attention to only one set of units, whether you choose AU, miles or kilometers. Ignore the other two scales so you can focus on the relative distances.)

Dawn's location
Dawn's location Dawn’s location in the solar system is shown on Nov. 7, 2016. On that day, the spacecraft and Ceres were at the same distance from the sun as when Dawn arrived last year. Now as Ceres advances counterclockwise in its elliptical orbit, they will move somewhat closer to the sun. We have plotted Dawn’s progress on this figure before, most recently in September.Image: NASA / JPL-Caltech

Another consequence of orbiting the sun is the progression of seasons. Right on schedule, as we boldly predicted in August 2015, Nov. 13 was the equinox on Ceres, marking the beginning of northern hemisphere autumn and southern hemisphere spring. Although it is celebrated on Ceres with less zeal than on Earth, it is fundamentally the same: the sun was directly over the equator that day, and now it is moving farther south. It takes Ceres so long to orbit the sun that this season will last until Dec. 22, 2017.

A celebration that might occur on Ceres (and which you, loyal Dawnophile, are welcome to attend) would honor Dawn itself. Although the spacecraft completed its ninth terrestrial year of spaceflight in September, on Dec. 12, it will have been two Cerean years since Dawn left Earth for its interplanetary journey. Be sure to attend in order to learn how a dawnniversary is commemorated in that part of the solar system.

Although a year on Ceres lasts much longer than on Earth, 2016 is an unusually long year on our home planet. Not only was a leap day included, but a leap second will be added at the very end of the year to keep celestial navigators’ clocks in sync with nature. The Dawn team already has accounted for the leap second in the intricate plans formulated for the spacecraft. And at that second, on Dec. 31 at 23:59:60, we will be able to look back on 366 days and one second, an especially full and gratifying year in this remarkable deep-space expedition. But we needn’t wait. Even now, as mission control is bathed in a lovely glow, the members of the team as well as space enthusiasts everywhere are aglow with the thrill of new knowledge, the excitement of a daring, noble adventure and the anticipation of more to come.

Dawn is 3,150 miles (5,070 kilometers) from Ceres. It is also 2.08 AU (194 million miles, or 312 million kilometers) from Earth, or 770 times as far as the moon and 2.11 times as far as the sun today. Radio signals, traveling at the universal limit of the speed of light, take 35 minutes to make the round trip.

Dr. Marc D. Rayman
4:00 p.m. PST November 28, 2016

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