Chapter 17 Drag on a Gravitating Body : Part V Physical Processes Relevant to the Planetary Growth : Origin of the Solar System

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In the growing process of planetesimals and protoplanets, the magnitude of gas drag on them plays important roll. The drag coefficient is expected to depend significantly on the gravitational force of the travelling astronomical bodies. The purpose of this paper is to clarify how the drag on the bodies depend on the gravitational force for the correct estimation of the time scale of planetary growth. Numerical simulations are performed for viscous flows around a gravitating sphere with mass M_*, radius γ_0 and constant velocity V_∞. For subsonic velocity, the drag coefficient C_t depends on the square of Γ(=GM_*/γ_0 V_∞^2) for low Γ, and linearly on it for higher Γ. In the case of supersonic velocity, the dependence of C_t on Γ is same as that given by hypersonic approximations, or C_t∝Γ^2.
理論物理学刊行会の論文
1989-03-10