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sphericity : ウィキペディア英語版
sphericity

Sphericity is a measure of how spherical (round) an object is. As such, it is a specific example of a compactness measure of a shape. Defined by Wadell in 1935, the sphericity, \Psi , of a particle is: the ratio of the surface area of a sphere (with the same volume as the given particle) to the surface area of the particle:
:\Psi = \frac}(6V_p)^}}

where V_p is volume of the particle and A_p is the surface area of the particle. The sphericity of a sphere is unity by definition and, by the isoperimetric inequality, any particle which is not a sphere will have sphericity less than 1.
== Ellipsoidal objects ==

The sphericity, \Psi , of an oblate spheroid (similar to the shape of the planet Earth) is:
:\Psi =
\frac}(6V_p)^}} =
\frac}b\right)}},

where ''a'' and ''b'' are the semi-major and semi-minor axes respectively.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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