Magnetic dipole moment of a moving electric dipole

The relativistic transformations of the polarization (electric moment density) P and magnetization (magnetic moment density) M of macroscopic electrodynamics¹ imply corresponding transformations of the electric and magnetic dipole moments p and m, respectively, of a particle. Thus, to first order in $ν$/c,² 

Here, the subscript 0 denotes quantities in the particle’s rest frame and v is the particle’s velocity. According to Eq. (1), a moving rest-frame magnetic dipole $m0$ develops an electric dipole moment $p=v×m0/c$⁠. While this fact is well known and understood,^3–5 the complementary effect that a moving electric dipole acquires a magnetic moment does not seem to be understood equally well.⁶ There does not...