The Hubble flow around the Local Group

We use updated data on distances and velocities of galaxies in the proximity of the Local Group (LG) in order to establish properties of the local Hubble flow. For 30 neighbouring galaxies with distances 0.7 < D-LG < 3.0 Mpc, the local flow is characterized by the Hubble parameter H-loc = (78 +/- 2) km s(-1) Mpc(-1), the mean-square peculiar velocity sigma(nu) = 25 km s(-1), corrected for errors of radial velocity measurements (similar to 4 km s(-1)) and distance measurements (similar to 10 km s(-1)), as well as the radius of the zero-velocity surface R-0 = (0.96 +/- 0.03) Mpc. The minimum value for sigma(nu) is achieved when the barycentre of the LG is located at the distance D-c = (0.55 +/- 0.05) D-M31 towards Andromeda galaxy (M31) corresponding to the Milky Way (MW)-to-M31 mass ratio M-MW/M-M31 similar or equal to 4/5. In the reference frame of the 30 galaxies at 0.7-3.0 Mpc, the LG barycentre has a small peculiar velocity similar to(24 +/- 4) km s(-1) towards the Sculptor constellation. The derived value of R-0 corresponds to the total mass M-T(LG) = (1.9 +/- 0.2) 10(12) M-circle dot with Omega(m) = 0.24 and a topologically flat universe, a value in good agreement with the sum of virial mass estimates for the MW and M31.