Asteroid differentiation was driven by a complex array of magmatic pro
cesses. This paper summarizes theoretical and somewhat speculative res
earch on the physics of these processes. Partial melts in asteroids mi
grate rapidly, taking < 10(6) years to reach surface regions. On relat
ively small (< 100 km) asteroids with sufficient volatiles in partial
melts (<3000 ppm), explosive volcanism accelerated melts to greater th
an escape velocity, explaining the apparent lack of basaltic component
s on the parent asteroids of some differentiated meteorites. Partial m
elting products include the melts (some eucrites, angrites), residues
(lodranites, ureilites), and unfractionated residues (acapulcoites). T
he high liquidus temperatures of magmatic iron meteorites, the existen
ce of pallasites with only olivine, and the fact that enstatite achond
rites formed from ultramatic magmas argue for the existence of magma o
ceans on some asteroids. Asteroidal magma oceans would have been turbu
lently convective. This would have prevented crystals nucleated at the
upper cooling surface (the only place for crystal nucleation in a low
-pressure body) from settling until the magma became choked with cryst
als. After turbulent convection slowed, crystals and magma would have
segregated, leaving a body stratified from center to surface as follow
s: a metallic core, a small pallasite zone, a dunite region, a feldspa
thic pyroxenite, and basaltic intrusions and lava flows (if the basalt
ic components had not been lost by explosive volcanism). The pallasite
and dunite zones probably formed from coarse (0.5-1 cm) residual oliv
ine left after formation of the magma ocean at >50% partial melting of
the silicate assemblage. Iron cores crystallized dendritically from t
he outside to the inside. The rapid melt migration rate of silicate me
lts suggests that Al-26 could not be responsible for forming asteroida
l magma oceans because it would leave the interior before a sufficient
amount of melting occurred. Other heat sources are more likely candid
ates. Our analysis suggests that if Earth-forming planetesimals had di
fferentiated they were either small (< 100 km) and poor in volatiles (
< 1000 ppm) or they were rich in volatiles and large enough (>300 km)
to retain the products of pyroclastic eruptions; if these conditions w
ere not met, Earth would not have a basaltic component.