SIMBAD references

The fully nonlinear gravitationally induced trajectories of a nearly complete set of galaxies, groups, and clusters in the Local Supercluster are constructed in a numerical action method model constrained by data from the CosmicFlows survey and various distance indicators. We add the gravity field due to inhomogeneities external to the sample sphere by making use of larger-scale peculiar flow measurements. Assignments of total masses were made to find the best overall set of mutual attractions, as determined by a goodness criterion based on present-day radial velocities, individually for the Virgo Cluster, M31, and the Milky Way (MW), and via a mass-to-light ratio relationship for other masses. The low median chi-square found indicates that the model fits the present-day velocity flow well, but a slightly high mean chi-square may indicate that some masses underwent complex orbits. The best fit, when setting the value of H₀ to the CosmicFlows value of 75 km s^–1 Mpc^–1 and the WMAP value for Ω_m = 0.244 consistent with that H₀, occurs with the following parameters: Ω_orphan = 0.077 ± 0.016, M/L_K=40±2L₁₀^0.15M_☉/L_☉ (L₁₀ is the K-band luminosity in units of 10¹⁰ L_☉), a Virgo mass of 6.3 ± 0.8 x 10¹⁴ M_☉ (M/L_K = 113 ± 15 M_☉/L_☉), and a mass for the MW plus M31 of 5.15 ± 0.35 x 10¹² M_☉. The best constant mass-to-light ratio is M/L_K = 58 ± 3 M_☉/L_☉. The Virgocentric turnaround radius is 7.3 ± 0.3 Mpc. We explain several interesting trends in peculiar motions for various regions now that we can construct the 3D orbital histories.