Fig. 3: Pursuer and target on helical target trajectory.
From: Hydrodynamic pursuit by cognitive self-steering microswimmers

a Illustration of pursuer-target-pair a-i trajectories and a-ii their flow field. b Order parameter 〈ep ⋅ et〉. c Mean pursuer-target distance, d hydrodynamic flow-field induced target velocity vind, and e effective helix slope ξ, as a function of the set slope ξ0 = H0/(2πR0) for pusher (purple squares), puller (green bullets), and ABP (blue triangles) pairs. The parameters are Pe = 128, Ω = 8 Ωhel, where \({{\Omega }}^{{{{{{{{\rm{hel}}}}}}}}}={{{{{{{\rm{Pe}}}}}}}}/\sqrt{1+{\xi }_{0}^{2}}\) is the target angular velocity in units of DR (Eqs. (9), (15), and (16)), R0 = σ, and α = 1.