  In this two-part study, we investigate the motion of rigid, active objects in
shear Stokes flow, focusing on bodies that induce rapid rotation as part of
their activity. In Part 2, we derive and analyse governing equations for
rapidly spinning complex-shaped particles - general helicoidal objects with
chirality. Using the multiscale framework we develop in Part 1
(arXiv:2301.11311), we systematically derive emergent equations of motion for
the angular and translational dynamics of these chiral spinning objects. We
show that the emergent dynamics due to rapid rotation can be described by
effective generalised Jeffery's equations, which differ from the classic
versions via the inclusion of additional terms that account for chirality and
other asymmetries. Furthermore, we use our analytic results to characterise and
quantify the explicit effect of rotation on the effective hydrodynamic shape of
the chiral objects, significantly expanding the scope of Jeffery's seminal
study.

Fluid Dynamics;Dynamical Systems