Saturday, January 24, 2015

ILLUSTRATION : It’s No Seven-Year Itch for Dawn: The Dwarf Planet Awaits

It’s No Seven-Year Itch for Dawn: The Dwarf Planet Awaits:

By Marc Rayman

As NASA’s Dawn spacecraft makes its journey to its second target, the dwarf planet Ceres, Marc Rayman, Dawn’s chief engineer, shares a monthly update on the mission’s progress.

Illustration of Dawn's journey to its target destinations


This illustration shows landmarks on Dawn’s voyage. After leaving Earth, the spacecraft flew past Mars to the giant protoplanet Vesta, where it spent 14 months in orbit. Now it is on its way to orbit dwarf planet Ceres. Image credit: NASA/JPL
Dear Dawnniversaries,

On the seventh anniversary of embarking upon its extraordinary extraterrestrial expedition, the Dawn spacecraft is far from the planet where its journey began. While Earth has completed its repetitive loops around the sun seven times, its ambassador to the cosmos has had a much more varied itinerary. On most of its anniversaries, including this one, it reshapes its orbit around the sun, aiming for some of the last uncharted worlds in the inner solar system. (It also zipped past the oft-visited Mars, robbing the red planet of some of its orbital energy to help fling the spacecraft on to the more distant main asteroid belt.) It spent its fourth anniversary exploring the giant protoplanet Vesta, the second most massive object in the asteroid belt, revealing a fascinating, complex, alien place more akin to Earth and the other terrestrial planets than to typical asteroids. This anniversary is the last it will spend sailing on the celestial seas. By its eighth, it will be at its new, permanent home, dwarf planet Ceres.

The mysterious world of rock and ice is the first dwarf planet discovered (129 years before Pluto) and the largest body between the sun and Pluto that a spacecraft has not yet visited. Dawn will take up residence there so it can conduct a detailed investigation, recording pictures and other data not only for scientists but for everyone who has ever gazed up at the night sky in wonder, everyone who is curious about the nature of the universe, everyone who feels the burning passion for adventure and the insatiable hunger for knowledge and everyone who longs to know the cosmos.

Dawn is the only spacecraft ever to orbit a resident of the asteroid belt. It is also the only ship ever targeted to orbit two deep-space destinations. This unique mission would be quite impossible without its advanced ion propulsion system, giving it capabilities well beyond what conventional chemical propulsion provides. That is one of the keys to how such a voyage can be undertaken.

For those who would like to track the probe’s progress in the same terms used on previous (and, we boldly predict, subsequent) anniversaries, we present here the seventh annual summary, reusing text from last year with updates where appropriate. Readers who wish to reflect upon Dawn’s ambitious journey may find it helpful to compare this material with the logs from its first, second, third, fourth, fifth and sixth anniversaries. On this anniversary, as we will see below, the moon will participate in the celebration.

In its seven years of interplanetary travels, the spacecraft has thrust for a total of 1,737 days, or 68 percent of the time (and about 0.000000034 percent of the time since the Big Bang). While for most spacecraft, firing a thruster to change course is a special event, it is Dawn’s wont. All this thrusting has cost the craft only 808 pounds (366 kilograms) of its supply of xenon propellant, which was 937 pounds (425 kilograms) on Sep. 27, 2007.

Photograph of the Dawn spacecraft blasting off


Dawn launched at dawn (7:34 a.m. EDT) from Cape Canaveral Air Force Station on Sep. 27, 2007. Its mission is to learn about the dawn of the solar system by studying the giant asteroid Vesta and dwarf planet Ceres. Image credit: KSC/NASA
The thrusting so far in the mission has achieved the equivalent of accelerating the probe by 22,800 mph (10.2 kilometers per second). As previous logs have described (see here for one of the more extensive discussions), because of the principles of motion for orbital flight, whether around the sun or any other gravitating body, Dawn is not actually traveling this much faster than when it launched. But the effective change in speed remains a useful measure of the effect of any spacecraft’s propulsive work. Having accomplished about seven-eighths of the thrust time planned for its entire mission, Dawn has already far exceeded the velocity change achieved by any other spacecraft under its own power. (For a comparison with probes that enter orbit around Mars, refer to this earlier log.)

Since launch, our readers who have remained on or near Earth have completed seven revolutions around the sun, covering 44.0 AU (4.1 billion miles, or 6.6 billion kilometers). Orbiting farther from the sun, and thus moving at a more leisurely pace, Dawn has traveled 31.4 AU (2.9 billion miles, or 4.7 billion kilometers). As it climbed away from the sun to match its orbit to that of Vesta, it continued to slow down to Vesta’s speed. It has been slowing down still more to rendezvous with Ceres. Since Dawn’s launch, Vesta has traveled only 28.5 AU (2.6 billion miles, or 4.3 billion kilometers), and the even more sedate Ceres has gone 26.8 AU (2.5 billion miles, or 4.0 billion kilometers). (To develop a feeling for the relative speeds, you might reread this paragraph by 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 differences in distance among Earth, Dawn, Vesta and Ceres over the seven years. You will see that as the strength of the sun’s gravitational grip weakens at greater distance, the corresponding orbital speed decreases.)

Another way to investigate the progress of the mission is to chart how Dawn’s orbit around the sun has changed. This discussion will culminate with a few more numbers than we usually include, and readers who prefer not to indulge may skip this material, leaving that much more for the grateful Numerivores. (If you prefer not to skip it, click here.) In order to make the table below comprehensible (and to fulfill our commitment of environmental responsibility), we recycle some more text here on the nature of orbits.

Orbits are ellipses (like flattened circles, or ovals in which the ends are of equal size). So as members of the solar system family follow their paths around the sun, they sometimes move closer and sometimes move farther from it.

In addition to orbits being characterized by shape, or equivalently by the amount of flattening (that is, the deviation from being a perfect circle), and by size, they may be described in part by how they are oriented in space. Using the bias of terrestrial astronomers, the plane of Earth’s orbit around the sun (known as the ecliptic) is a good reference. Other planets and interplanetary spacecraft may travel in orbits that are tipped at some angle to that. The angle between the ecliptic and the plane of another body’s orbit around the sun is the inclination of that orbit. Vesta and Ceres do not orbit the sun in the same plane that Earth does, and Dawn must match its orbit to that of its targets. (The major planets orbit closer to the ecliptic, and part of the arduousness of the journey is changing the inclination of its orbit, an energetically expensive task.)

Now we can see how Dawn has been doing by considering the size and shape (together expressed by the minimum and maximum distances from the sun) and inclination of its orbit on each of its anniversaries. (Experts readily recognize that there is more to describing an orbit than these parameters. Our policy remains that we link to the experts’ websites when their readership extends to one more elliptical galaxy than ours does.)

The table below shows what the orbit would have been if the spacecraft had terminated ion thrusting on its anniversaries; the orbits of its destinations, Vesta and Ceres, are included for comparison. Of course, when Dawn was on the launch pad on Sep. 27, 2007, its orbit around the sun was exactly Earth’s orbit. After launch, it was in its own solar orbit.

Minimum distance from the Sun (AU) Maximum distance from the Sun (AU) Inclination
Earth’s orbit 0.98 1.02 0.0°
Dawn’s orbit on Sep. 27, 2007 (before launch) 0.98 1.02 0.0°
Dawn’s orbit on Sep. 27, 2007 (after launch) 1.00 1.62 0.6°
Dawn’s orbit on Sep. 27, 2008 1.21 1.68 1.4°
Dawn’s orbit on Sep. 27, 2009 1.42 1.87 6.2°
Dawn’s orbit on Sep. 27, 2010 1.89 2.13 6.8°
Dawn’s orbit on Sep. 27, 2011 2.15 2.57 7.1°
Vesta’s orbit 2.15 2.57 7.1°
Dawn’s orbit on Sep. 27, 2012 2.17 2.57 7.3°
Dawn’s orbit on Sep. 27, 2013 2.44 2.98 8.7°
Dawn’s orbit on Sep. 27, 2014 2.46 3.02 9.8°
Ceres’ orbit 2.56 2.98 10.6°


Illustration of Dawn's mission trajectory


This illustration shows Dawn’s interplanetary trajectory (in blue). The dates in white show Dawn’s location every September 27, starting on Earth in 2007. Note that Earth returns to the same location, taking one year to complete each revolution around the sun. As Dawn climbs farther from the sun, it orbits more slowly. Image credit: NASA/JPL
For readers who are not overwhelmed by the number of numbers, investing the effort to study the table may help to demonstrate how Dawn has patiently transformed its orbit during the course of its mission. Note that three years ago, the spacecraft’s path around the sun was exactly the same as Vesta’s. Achieving that perfect match was, of course, the objective of the long flight that started in the same solar orbit as Earth, and that is how Dawn managed to slip into orbit around Vesta. While simply flying by it would have been far easier, matching orbits with Vesta required the exceptional capability of the ion propulsion system. Without that technology, NASA’s Discovery Program would not have been able to afford a mission to explore it in such detail. But now, Dawn has gone even beyond that. Having discovered so many of Vesta’s secrets, the stalwart adventurer left the protoplanet behind. No other spacecraft has ever escaped from orbit around one distant solar system object to travel to and orbit still another extraterrestrial destination. A true interplanetary spaceship, Dawn is enlarging, reshaping and tilting its orbit again so that in 2015, it will be identical to Ceres’.

› Continue reading Marc Rayman’s Dawn Journal

Posted by Nelio Inacio at 6:40 AM

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