Drag on a Gravitating Sphere Moving through a Gas

Details Drag on a Gravitating Sphere Moving through a Gas Drag on a Gravitating Sphere Moving through a Gas

Aug 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985pthph..74..272t&link_type=abstract

Progress of Theoretical Physics, Vol. 74, No. 2, pp. 272-287

Physics

36

Scientific paper

The gas drag plays important roles on the process of planetary formation. Former calculations of this process used the drag coefficient of a gravity free body, but the coefficient is expected to change significantly when the effect of gravity is taken into account. The purpose of this paper is to find how the drag on a body depends on gravitational force in order to estimate a correct time scale for planetary growth. Numerical calculations of the drag on a gravitating sphere of mass M* and radius r0 travelling in a gascous medium with constant velocity are presented. A relation Ct =a+bΓ 2 for drag coefficient, Ct, gives close fit with the calculated values for large Ct where Γ =GM* /r0 V∞2. For supersonic flow, Ct depends strongly on Γ and b is as large as 10~30. The time scale for planetary formation will probably be reduced by a factor of 2~3.

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