“…where r = | r|, r ⊙ = 8 kpc [15] is the distance of the Sun from the galactic center, a is a scale length and ρ l is the total local (solar neighborhood) dark matter density. In particular, the isothermal density profile corresponds to (α, β, γ) = (2,2,0), the Navarro, Frenk and White (NFW) profile [16] corresponds to (α, β, γ) = (1,3,1) and the Moore et al profile [17] to (α, β, γ) = (1.5,3,1.5).…”