In my work investigating suspensions in viscoelastic fluids using Stokesian dynamics, I found that there were a number of small errors in the important paper

Calculation of the resistance and mobility functions for two unequal rigid spheres in low-Reynolds-number flow.*Journal of Fluid Mechanics***139**, 261â€“290.

A partial list of errata has been published by Kengo Ichiki, and some of these errors appear to have been noticed by authors using this paper in their extensions. Here I present a *full* list of errata and a comprehensive description of how to fully generate, from scratch, the corrected near-field asymptotic forms of scalar resistance functions,

$$X^A_{11}, X^A_{12}, Y^A_{11}, Y^A_{12}, Y^B_{11}, Y^B_{12}, X^C_{11}, X^C_{12}, Y^C_{11}, Y^C_{12},$$

$$X^G_{11}, X^G_{12}, Y^G_{11}, Y^G_{12}, Y^H_{11}, Y^H_{12}, X^M_{11}, X^M_{12}, Y^M_{11}, Y^M_{12}, Z^M_{11}, Z^M_{12}.$$

Originally posted on the arXiv in 2018, correspondence from teams using the work has led to improvements and it was published in *Physics of Fluids* in December 2023.

In the work, I use two later, useful papers:

The calculation of the low Reynolds number resistance functions for two unequal spheres.*Physics of Fluids A: Fluid Dynamics (1989â€“1993)***4**(1), 16â€“29.

Resistance functions for two unequal spheres in linear flow at low Reynolds number with the Navier slip boundary condition.*arXiv:1302.0461 [cond-mat, physics:physics]*.

Equations in these papers will be referenced as:

Jeffrey & Onishi (1984) | (JO 1.1) |

Jeffrey (1992) | (J 1) |

Ichiki et al. (2013) | (I 1) |

The full expressions can be downloaded below as an open-access PDF: