The 41/2 Steps of the Core Accretion Model of Giant Planet Formation (cont)
Step III: Oligarchic
Growth (Kokubo & Ida; Thommes et al.; Goldreich et al.; Chambers)
- Recall that
as long as
is not affected by M.
- As the big guys grow, they have a larger fraction of system mass
stir small guys.
-
is roughly constant with mass, so
.
- So, growth slows and smaller oligarchs can catch up with larger ones.
- Studies have shown that (Kokubo & Ida):
- The largest few objects at any given time are:
- of comparable mass
- orbital separation is ~10RH, (Earth at 10AU: RH=0.1AU)
where RH is the gravitational sphere of influence and is f(M,a).
- So, as the system evolves:
- Number of big guys decreases.
- Their masses increase (mainly by eating planetesimals, but some mergers happen).
- Their separation increases.
- Probably need a disk massive enough so that the cores grow to ~10 ME in this mode (Lissauer).