Action Dynamics of the Local Supercluster

Abstract

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 (NAM) 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 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 $H_0$ to the CosmicFlows value of 75 km/s/Mpc and the WMAP value for ${\Omega }_m=0.244$ consistent with that $H_0$, occurs with the following parameters: ${\Omega }_{orphan}=0.077\pm 0.016$, $M/L_K$= $40\pm 2$ $L_{10}^{0.15}$ $M_{\odot }/L_{\odot }$ ($L_{10}$ is K-band luminosity in units of $10^{10}{L}_{\odot }$), a Virgo mass of $6.3\pm 0.8\times 10^{14}{M}_{\odot }$ ($M/L_K=113\pm 15M_{\odot }/L_{\odot }$), and a mass for the MW plus M31 of $5.15\pm 0.35\times 10^{12}{M}_{\odot }$. The best constant mass-to-light ratio is $M/L_K=58\pm 3M_{\odot }/L_{\odot }$. The Virgocentric turnaround radius is $7.3\pm 0.3$ Mpc. We explain several interesting trends in peculiar motions for various regions now that we can construct the 3D orbital histories.

18 pages, 17 Figures, links to online video, interactive plots and a large table

References in corpus (11)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Laniakea supercluster of galaxies
• The M31 Velocity Vector. II. Radial Orbit Towards the Milky Way and Implied Local Group Mass
• Galaxy Groups within 3500 km s${}^{-1}$
• Galaxy Groups: A 2MASS Catalog
• The M31 Velocity Vector. I. Hubble Space Telescope Proper Motion Measurements
• Galaxy Groups
• The Dipole Repeller
• Pecular velocities of galaxies in the Leo Spur
• The Cosmic V-Web
• Draining the Local Void

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