I've never heard the term 'hydrostatic equilibrium' before - would you enlighten me as to its meaning...?
http://en.wikipedia.org/wiki/Dwarf_planet#Size_and_mass
As mentioned in the article, Haumea is defined as a dwarf planet even though it is significantly non-spherical because it is in hydrostatic equlibrium.
In fact, a body with the same mass, density, and rotational angular momentum as Haumea that *was* a sphere would probably *not* be defined as a dwarf planet, since it would not be in hydrostatic equilibrium.
EDIT: BTW, even Jupiter and Saturn are visibly deformed from the spherical by their rotation, but they are in hydrostatic equilibrium.
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A dwarf planet is defined as a round object in primary orbit around the Sun.
A Plutoid is round, trans-Neptunian object, in primary orbit around the Sun.
You forgot that a dwarf planet has not cleared its orbit. The two criteria you gave define the set of objects that are either planets or dwarf planets. They also define the set of objects that I would prefer to call "planets," which does include the Plutoids.
Other reasons (beyond the definition of the word) why Pluto would make a lousy planet:
Let's try substituting Earth into these situations:
- It's orbit is so eccentric, it passes the orbit of Neptune.
Would people be so quick to say this disqualified an object as a planet if Pluto had the mass (or even the radius) of Earth?
- It's inclined far outside of the orbital plane of other planets.
Incline Earth's orbit 90 degrees to the rest of the solar system. Is it any less a planet?
- There are 7 moons in the solar system larger then Pluto.
If the gas giants between them had seven moons larger than Earth, would that take away the planetary status of Mercury, Venus, Earth, and Mars?
- If you brought Pluto to where Earth is, it would vaporizer (yes, turn to gas).
Probably not entirely, but yes, it would be one big comet. However, an object with the same composition as Pluto and the mass of Earth would behave similarly, although with it's mass, and the attendant high escape velocity, it would probably end up with a very thick atmosphere and a deep ocean, rather than all the volatiles being blown away.
- The barycenter of the Pluto-Charon system (the point where these two objects orbit) is outside of Pluto.
As far as barycenters go:
The Jupiter-Sun barycenter is outside the Sun.
And among planetary/dwarf planetary barycenters the second most offset barycenter in the solar system outside of the Pluto-Charon one is the Earth-Moon barycenter. If the moon were more massive, or further away, or if the Earth were denser, and thus smaller for a given mass, the Earth-Moon barycenter would be outside the Earth.
Barycenter position is a function of the mass of the secondary relative to the mass of the primary, and the distance between the two objects relative to the size of the primary. Even if the planet in question had the mass of Jupiter, and the moon in question had the mass of an electron, the barycenter could (in theory) be outside of the planet just because the moon was far enough away.
Barycenter position might be good for determining double-planet status, but even then I'm doubtful, because of the dependence on distance between the two objects, rather than just on relative masses.