The linear Vlasov dispersion relation for the lower hybrid density drift instability is studied in a four component (hot electrons and protons, cold electrons and protons) plasma. The introduction of a cold ion population monotonically reduces the maximum rate of the instability. Reduction of Tc/Th, the ratio of temperatures of the cold and hot plasmas, reduces both the real frequency and the growth rate of the intensity. Near Tc/Th = 10-2 a higher frequency branch of this instability emerges and for fixed nc/nh exhibits an increasing maximum growth rate as Tc/Th decreases further. The ratio Tc/Th for the ions is the crucial parameter and deserves detailed magnetospheric studies.