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2 Pallas
Paolo
post Oct 11 2009, 08:49 AM
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no one seems to have noticed this
http://www.sciencemag.org/cgi/content/abstract/326/5950/275
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Paolo
post Oct 12 2009, 05:38 AM
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From Wikipedia

QUOTE
Pallas has not been visited by spacecraft, but if the Dawn probe is successful in studying 4 Vesta and 1 Ceres, it is possible its mission may be extended to include a flyby of Pallas as Pallas crosses the ecliptic. However, due to the high orbital inclination of Pallas, it will not be possible for Dawn to enter orbit.
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HSchirmer
post Apr 24 2016, 12:06 AM
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Since there is already a 2 Pallas thread, so I'm putting thoughts about a Dawn extended mission to Pallas here.

If Dawn leaves Ceres, could it rendezvous with Pallas? Could it orbit it?
I'm beginning to suspect it could; if Dawn can catch Pallas as Pallas crosses Ceres' orbit then it would
appear that Dawn could use a gravity assist from Pallas to match the inclination of Pallas' orbit to the ecliptic.
Once Dawn is heading in the same general direction as Pallas, it could chase down Pallas the same way
it chased down Ceres.

I think this might work because I noticed a few very interesting things about the orbits of Ceres and Pallas-
They have an almost exact 1:1 orbit resonance. Not locked exactly, but the same orbital period
Ceres = 1680 days. Pallas = 1686 days They also have essentially identical mean motion (speed).
And, yes, Pallas is at 35 degrees inclination to the ecliptic, however, Ceres is at 10 degrees.
We were able to achieve a 10 degree inclination to rendezvous with Ceres without breaking the spacecraft,
so conceptually we can do 10 degrees again, and again, and then 5 degrees.

url="http://nssdc.gsfc.nasa.gov/planetary/factsheet/asteroidfact.html"]http://nssdc.gsfc.nasa.gov/planetary/facts...teroidfact.html[/url]
Asteroid Diameter ~Mass Rotation Orbital Spectral Semimajor Orbital Orbital Number
Name (km) 1015 kg Period Period Class Axis Eccentricity Inclination and Name
1 Ceres 965 x 961 x 891 939,300 9.074 hrs 4.60 yrs C 2.768 AU 0.0758 10.59 deg
2 Pallas 582 x 556 x 500 205,000 7.813 hrs 4.61 yrs U 2.772 AU 0.2310 34.84 deg

That makes this VERY interesting- Ceres and Pallas have essentially identical orbital period and semimajor axis.
The eccentricity and inclination are different, but if I recall my physics and mechanics correctly (not guaranteed)
then the energy of the two orbits is essentially the same, it is the direction and the shape of the orbits that is different.
Essentially, the total energy of the two orbits is the same, but the eccentric orbit exchanges
gravitational potential energy for kinetic energy as Pallas goes from perihelion to aphelion and back again.

So, remember Ulysses? No it's not Bloomsday...
Ulysses the spacecraft was redirected into an out-of-the-ecliptic orbit by using a gravitational slingshot around Jupiter.
That was able to redirect the spacecraft's orbit out of the ecliptic, not much of a change in delta-V IIRC, but change in direction.

Seems that when Pallas crosses [edit the ecliptic] the plane of ceres' orbit, Dawn could do a slingshot manoeuvre to
redirect it from a Ceres-like 1686 day 10 degree orbit into an inclined Pallas-like 1680 day 35 degree orbit.
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Posts in this topic
- Paolo   2 Pallas   Oct 11 2009, 08:49 AM
- - nprev   Well, well, well! Guess it's extremely pre...   Oct 11 2009, 08:57 AM
|- - Paolo   I discussed about this with Mark Rayman a few week...   Oct 11 2009, 10:55 AM
|- - vjkane   QUOTE (nprev @ Oct 11 2009, 09:57 AM) Wel...   Oct 12 2009, 05:03 AM
- - nprev   I was thinking that it was maybe a few degrees off...   Oct 12 2009, 05:11 AM
- - Paolo   From Wikipedia QUOTE Pallas has not been visited ...   Oct 12 2009, 05:38 AM
|- - tedstryk   There was a blurb about a Pallas encounter that br...   Oct 12 2009, 02:54 PM
||- - vjkane   QUOTE (tedstryk @ Oct 12 2009, 03:54 PM) ...   Oct 12 2009, 04:19 PM
|- - PaulM   I wonder if the Indians or Chinese have considered...   Oct 12 2009, 07:34 PM
|- - HSchirmer   Since there is already a 2 Pallas thread, so I...   Apr 24 2016, 12:06 AM
- - Paolo   Note also this LPSC paper http://www.lpi.usra.edu/...   Oct 14 2009, 06:17 PM
- - djellison   A series of barely funny but fairly inappropriate ...   Oct 15 2009, 07:01 AM
- - Paolo   On ArXiv today: Physical Properties of (2) Pallas   Dec 21 2009, 06:43 AM
- - nprev   Huh. Almost the same average density as Mars. Ha...   Dec 21 2009, 06:55 AM
- - elakdawalla   Thanks very much for the pointer to that article, ...   Dec 22 2009, 06:05 PM
- - Explorer1   It would be amazing to get Dawn to a 3rd object, I...   Apr 24 2016, 01:26 AM
- - Paolo   and don't forget that changing the inclination...   Apr 24 2016, 07:02 AM
- - nprev   Pallas is not nearly massive enough to effect a si...   Apr 24 2016, 09:29 AM
|- - HSchirmer   QUOTE (nprev @ Apr 24 2016, 10:29 AM) Pal...   Apr 24 2016, 12:45 PM
- - jasedm   It would be fantastic to think it would be on the ...   Apr 24 2016, 07:01 PM
- - TheAnt   QUOTE (Steve5304 @ Apr 23 2016, 06:08 PM)...   Apr 24 2016, 11:41 PM
|- - HSchirmer   QUOTE (TheAnt @ Apr 24 2016, 11:41 PM) Re...   Apr 25 2016, 12:00 AM
- - nprev   Landing or crashing is not considered an option si...   Apr 25 2016, 01:58 AM
|- - HSchirmer   QUOTE (nprev @ Apr 25 2016, 01:58 AM) Lan...   Apr 25 2016, 02:30 AM
- - nprev   I think that's about ten deep in "ifs...   Apr 25 2016, 03:33 AM


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