Dark Matter Scaling Relations

We establish the presence of a dark matter core radius, for the first time in a very large number of spiral galaxies of all luminosities. Contrary to common opinion we find that the sizes of these cores and the " DM core problem" are bigger for more massive spirals. As a result the Burkert profile provides an excellent mass model for dark halos around disk galaxies. Moreover, we find that the spiral dark matter core densities \ρ₀ and core radii r₀ lie in the same scaling relation \ρ₀=4.5\× 10⁻2 (r₀/kpc)-2/3 M⁻³ of dwarf galaxies with core radii upto ten times more smaller.