= Deflection and spin in a distant sphere encounter
{title2=$\delta Y_{\max}=27a^2/(32b),\quad\Delta\vartheta=-9\pi a^2/(32b^2)$}
In a planar force-driven encounter with a fixed equal <sphere> and positive impact parameter $b\gg a$, the <mobility correction from a fixed distant sphere> gives $Y-b=27a^2b/[32(X^2+b^2)]+O(a^4/b^3)$. The moving <sphere> reaches maximum deflection $27a^2/(32b)$ and rotates clockwise through $9\pi a^2/(32b^2)$ to leading order. The spin is obtained by integrating half the reflected <Stokeslet> <vorticity>, as prescribed by <Faxén rotation law>. These numerical formulas require a distant encounter.
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