http://dawn.jpl.nasa.gov/mission/journal_10_31_12.asp

Dawn Journal
Dr. Marc Rayman
October 31, 2012

Dear Indawnspensable Readers,

Dawn is making good progress on the second segment of its cosmic
travels. Following more than a year of arduous but sensationally
productive and exciting work revealing the fascinating character of the
giant protoplanet Vesta, it is now patiently pursuing its next target, 
the mysterious dwarf planet Ceres, which resides farther from the sun. 
For the second (and final) time in its interplanetary journey, however, 
Dawn is about to turn around, going closer to the sun rather than 
farther away.

In August 2008,  we saw in detail how it could be
that even as the bold explorer travels outward in the solar system from
Earth, past Mars, to Vesta, and then on to Ceres, it could occasionally
appear to reverse course temporarily. We present here a shorter
explanation for those readers who did not memorize the log explaining
this perplexing behavior (you know who you are, and we do as well, but
your secret remains safe under the terms of our reader privacy agreement).

Dawn orbits the sun, as do Vesta, Ceres, the other residents of the main
asteroid belt, and the planets. All orbits, whether of these objects
around the star at the center of our solar system, artificial satellites
or the moon in orbit around Earth, or even Dawn when it was in orbit
around Vesta, are ellipses (like flattened circles). Earth, for example,
orbits the sun at an /average/ distance of 150 million kilometers (93.0
million miles), which astronomers call one astronomical unit (AU).
During its year-long revolution, however, our planet comes in to 0.98 AU
from the sun and goes out to 1.02 AU. Earthlings manage quite nicely
with these small variations. (Note that the seasons are not caused by
the changes in distance but instead are a result of the tilt of Earth's
axis and thus the differing angles at which the warming rays of the sun
arrive during the year. If the sun's distance were all that mattered,
the northern and southern hemispheres would have the same seasons.) So,
orbiting bodies move smoothly between a /minimum/ and a /maximum/ range
from their gravitational masters rather than remaining at a constant
distance.

When Dawn was in orbit around Vesta, it accompanied that world on its
regular journey around the sun. The table last month showing the probe's 
progress over the five years of its deep space trek reminds us that Vesta's 
path brings it as close to the sun as 2.15 AU and takes it out to 2.57 AU.

If Dawn had remained in orbit around Vesta, it would have continued to
follow the same elliptical course as its host in the asteroid belt. The
pair would have reached their maximum solar distance next month and then
would have fallen back to 2.15 AU in September 2014. While visiting
Vesta was extremely gratifying, this explorer's ambitions are greater.
It broke free of Vesta's grip, its sights set on a new and distant alien 
destination.

Now the spacecraft is in its own independent orbit around the sun,
and the persistent but gentle pressure of
its advanced ion propulsion system gradually reshapes that orbit. At any
moment, the orbit is an ellipse, and an instant later, it is a slightly
different ellipse, courtesy of the thrust. As Dawn departed from Vesta
only last month, its orbit is not yet dramatically different, but over
the course of the coming years, the effect of the thrusting will be to
change the orbit tremendously. To reach Ceres in 2015, the ship will
enlarge and tip its elliptical course to match the motion of the dwarf
planet around the sun. (Some of the parameters characterizing each
object's orbit are shown here <journal_09_27_12.asp#table>.)

Although the ship's orbit is growing, it will reach the current high
point on Nov. 1. It will then be 2.57 AU from the sun and, just as in
2008 (albeit at a smaller distance), it will begin moving closer, even
as it continues to thrust.

If Dawn stopped thrusting on Nov. 1, its elliptical orbit would carry it
down to 2.19 AU from the sun in September 2014. That's a higher orbit
than Vesta's but still well below what it needs to be for the rendezvous
with Ceres. Astute readers have already anticipated that the plan is not
to stop thrusting but to continue reworking the trajectory, just as a
ceramicist gradually achieves a desired shape to create the envisioned
artistic result. The ongoing thrusting will raise the low point of the
orbit, so if the ship follows the flight plan, it will descend only to
2.45 AU in October 2013 before sailing outward again. By May 2014 it
will have risen to the same solar altitude as it is now. All the
thrusting in the interim will have altered its course so much, however,
that it will not turn around then; rather, it will continue ascending to
keep its 2015 appointment with Ceres.

If not for its ion propulsion system, this extraordinary interplanetary
expedition would be impossible. Conventional chemical propulsion does
not have the requisite capability. The key to taking advantage of the
unique performance of ion propulsion is patience, which Dawn demonstrates 
exemplarily. Whereas the vast majority of spacecraft spend almost all of 
their time coasting, Dawn devotes the preponderance of its time to powered 
flight, emitting a tenuous but very high velocity beam of blue-green xenon 
ions to propel itself. On Nov. 2, coincidentally around the
same time it begins approaching the sun, the indefatigable robot will
exceed three years of total thrust. By then, the gentle but persistent
flow of ions will have imparted the equivalent of 7.28 kilometers per
second (16,300 miles per hour) to the spacecraft. (As we have seen in
many previous logs, such as here <journal_8_24_08.asp#correspondent>,
this is not actually a measure of Dawn's speed. It is a convenient
description of the effectiveness of a propulsion system that avoids the
complications of orbital mechanics. The effect of the propulsion is not
to increase velocity but rather to climb the solar system hill,
just as pressing a car's accelerator while on a steep slope may not gain 
speed compared to driving on a level road, but it will gain elevation.)

As the ambitious adventurer forges through the asteroid belt, pushing
tirelessly against the sun's incessant pull, the temporary reduction in
heliocentric distance is just one element of the complex plan for a
grand adventure to explore two of the last uncharted worlds in the inner
solar system. Next month, we will see some of the changes the mission
control team is making in how Dawn operates in order to ensure its work
at Ceres is as richly productive as it was at Vesta.

Dawn is 708 thousand kilometers (440 thousand miles) from Vesta and 59
million kilometers (37 million miles) from Ceres. It is also 1.78 AU
(267 million kilometers or 166 million miles) from Earth, or 660 times
as far as the moon and 1.80 times as far as the sun today. Radio
signals, traveling at the universal limit of the speed of light, take 30
minutes to make the round trip.

/Dr. Marc D. Rayman
7:00 a.m. PDT October 31, 2012/

P.S. Last year's Halloween costume was so difficult to wear that your 
correspondent will don a new one that's a little easier yet makes him 
equally unrecognizable and is much more whimsical. (No, it's not his 
ballerina outfit, as he wears that too frequently for it to be a good 
choice for Halloween.) This year, he is going as someone who believes 
the Higgs boson mass is greater than 140 GeV, which surely will amuse 
and delight everyone fortunate enough to see such a dazzling costume.
______________________________________________

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