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The motion of rigid spherical particles suspended in a low Reynolds numberfluid can be related to the forces, torques and stresslets acting upon them by22 scalar resistance functions, commonly notated $X^A_{11}$, $X^A_{12}$,$Y^A_{11}$, etc. Near-field asymptotic forms of these resistance functions werederived in Jeffrey and Onishi (J. Fluid Mech., 1984) and Jeffrey (Phys. FluidsA, 1992); these forms are now used in several numerical methods for suspensionmechanics. However, the first of these important papers contains a number ofsmall errors which make it difficult for the reader to correctly evaluate thefunctions for parameters not explicitly tabulated. This short articlecomprehensively corrects these errors, and adds formulae that were originallyomitted from both papers, so that the reader can verify and implement theequations independently. The corrected expressions, rationalised and usingcontemporary nondimensionalisation, are shown to match mid-field values ofthese scalars which are calculated through an alternative method. A Pythonscript to generate and evaluate these functions is provided.

Generating, from scratch, the near-field asymptotic forms of scalar resistance functions for two unequal rigid spheres in low Reynolds number flow