Aerodynamics of solid bodies in the solar nebula.
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...Further, the fraction of disks with at least a MMSN, 10MJup, within 60AU is similar, ∼ 11 − 13%, in Taurus, Ophiuchus, and Orion and, incidentally, comparable to the detection rate of Jupiter mass extrasolar planets (Mann & Williams 2009b)....
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...As a fiducial comparison, we use the MinimumMass Solar Nebula (MMSN), the lowest mass primordial disk that formed the Solar System inferred from scaling planetary compositions to cosmic abundances at each orbital radius (Kusaka, Nakano & Hayashi 1970; Weidenschilling 1977)....
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...Andrews et al. (2009, 2010b) infer surface densities, Σ ≈ 10 − 100 g cm−2 at 20AU, in their sample of Ophiuchus disks that are in good agreement with the MMSN (Figure 2)....
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...For disks, β ≈ 1 so κ(1mm) = 0.03 cm2 g−1 which implies τ(1mm) = 1 at a surface density of Σ ≈ 30 g cm−2, corresponding to about 10AU in the MMSN (Davis 2005) and an angular scale of 0....
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...Andrews & Williams (2005) also show that for a 100AU disk with the mass and surface density profile of the MMSN, about one third of the emission by mass is optically thick at 850µm....
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...…to the gas motion the dust particles are, they always possess a relative velocity to the gas, caused either by Brownian motion (for very small dust grains), by a systematic motion due to vertical settling or due to the sub-Keplerian motion of the gas, or by gas turbulence (Weidenschilling 1977)....
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...Hence, differential settling is not the main driver for mutual collisions among the grains (Weidenschilling 1977)....
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...However done, the formation of kilometer-sized planetesimals has to happen fast, as large bodies possess a rather short lifetime owing to their effective inward drift motion (Weidenschilling 1977)....
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