The Galaxy’s mass within this boundary is $M_{\rm G: NFW}= 3\meleven$ (figure \[fig-mass\]).

The high-velocity ends of the pseudo rotation curve for the entire Local Group up to $\sim 1.5$ Mpc in figure \[fig-vgc\] are well represented by an isothermal dark halo model. The estimated total mass $M \sim 4.8 \times 10^{12}\Msun$ for the terminal flat velocity of $V=134 \sqrt{3} \sim 230$ may be compared with the mass of the Local Group derived by Li and White (2007) of $5.3\times 10^{12}\Msun$, and that by van der Marel and Guhathakurta (2008) of $5.6\times10^{12}\Msun$.

The mean dark matter density of the Universe is on the order of $\rho_0\sim (H_0 R)^2 R/G /(4\pi R^3/3)\sim 2\times 10^{-29}{\rm g ~cm^{-3}} \sim 1.2\times10^{-6}\Msun {\rm pc}^{-3} $ for $H_0=72$ kpc$^{-1}$. Total mass of this “uniform” dark matter is $\sim 1.2 \meleven$ inside a sphere of radius 385 kpc, and $\sim 1 \mtwelve$ in 770 kpc, which is small enough compared to the dynamical mass of the Local Group.

The ratio of barionic mass (luminous mass) of a galaxy to the dark matter mass gives important information for the formation scenario of galaxies. The upper limit to the barionic mass of the Galaxy is approximately represented by the 