Galaxy rotation curves: the effect of $\vec{j} \times\vec{B}$ force

Using the Galaxy as an example, we study the effect of (j)\vec] ×(B)\vec]\vec{j} \times \vec{B} force on the rotational curves of gas and plasma in galaxies. Acceptable model for the galactic magnetic field and plausible physical parameters are used to fit the flat rotational curve for gas and plasma based on the observed baryonic (visible) matter distribution and (j)\vec] ×(B)\vec]\vec{j} \times\vec{B} force term in the static MHD equation of motion. We also study the effects of varied strength of the magnetic field, its pitch angle and length scale on the rotational curves. We show that (j)\vec] ×(B)\vec]\vec{j} \times\vec{B} force does not play an important role on the plasma dynamics in the intermediate range of distances 6–12 kpc from the centre, whilst the effect is sizable for larger r (r≥15 kpc), where it is the most crucial.