Outward Migration of Terrestrial Embryos in Binary Systems
arXiv:0909.0284 · doi:10.1111/j.1365-2966.2009.15586.x
Abstract
We consider the formation and migration of protoplanetary embryos in disks around the stars in tight binary systems (separations ~ 20 AU. In such systems, the initial stages of runaway embryo formation are expected to only take place within some critical disk radius a_{crit}, due to the perturbing effect of the binary companions (Thebault et al. 2009). We perform n-body simulations of the evolution of such a population of inner-disk embryos surrounded by an outer-disk of smaller planetesimals. Taking Alpha Centauri-B as our fiducial reference example in which a_{crit} ~ 0.7 AU, and using a Minimum Mass Nebular Model with , we find that within 10^6 yrs (10^7 yrs), systems will on average contain embryos which have migrated out to 0.9 AU (1.2 AU), with the average outer-most body having a mass of 0.2 M_{earth} 0.4 M_{earth}. Changes to increase the surface density of solids or to use a flatter profile both produce increased embryo migration and growth. At a given time, the relative change in semi-major axis of the outer-most embryo in these simulations is found to be essentially independent of a_{crit}, and we note that little further embryo migration takes place beyond 10^7 years. We conclude that the suppression of runaway growth outside a_{crit} does not mean that the habitable zones in such tight binary systems will be devoid of detectable, terrestrial mass planets, even if a_{crit} lies significantly interior to the inner edge of the habitable zone.
Accepted for publication in MNRAS
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- Effects of Proxima Centauri on Planet Formation in Alpha Centauri