The Mass of the Milky Way and M31 Using the Method of Least Action

@article{Phelps2013TheMO,
  title={The Mass of the Milky Way and M31 Using the Method of Least Action},
  author={Steven Phelps and Adi Nusser and Vincent Desjacques},
  journal={The Astrophysical Journal},
  year={2013},
  volume={775},
  pages={102}
}
We constrain the most likely range of masses for the Milky Way (MW) and M31 using an application of the numerical action method (NAM) that optimizes the fit to observed parameters over a large ensemble of NAM-generated solutions. Our 95% confidence level mass ranges, 1.5-4.5 × 1012 M ☉ for MW and 1.5-5.5 × 1012 M ☉ for M31, are consistent with the upper range of estimates from other methods and suggests that a larger proportion of the total mass becomes detectable when the peculiar motions of… Expand

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References

SHOWING 1-10 OF 15 REFERENCES
Masses for the Local Group and the Milky Way
We use the very large Millennium Simulation of the concordance Lambda cold dark matter cosmogony to calibrate the bias and error distribution of Timing Argument estimators of the masses of the LocalExpand
The M31 Velocity Vector. II. Radial Orbit toward the Milky Way and Implied Local Group Mass
We determine the velocity vector of M31 with respect to the Milky Way and use this to constrain the mass of the Local Group, based on Hubble Space Telescope proper-motion measurements of three fieldsExpand
THE SPACE MOTION OF LEO I: THE MASS OF THE MILKY WAY'S DARK MATTER HALO
We combine our Hubble Space Telescope measurement of the proper motion of the Leo I dwarf spheroidal galaxy (presented in a companion paper) with the highest resolution numerical simulations ofExpand
The Solar Motion Relative to the Local Group
New data on the membership of the Local Group (LG) are used, in conjunction with new and improved radial velocity data, to refine the derivation of the motion of the Sun relative to the LG. The SunExpand
Radial and Transverse Velocities of Nearby Galaxies
Analysis of the peculiar velocities of the galaxies should take account of the uncertainties in both redshifts and distances. We show how this can be done by a numerical application of the actionExpand
Notes on the Missing Satellites Problem
The Missing Satellites Problem (MSP) broadly refers to the overabundance of predicted Cold Dark Matter (CDM) subhalos compared to satellite galaxies known to exist in the Local Group. The mostExpand
Simulations of the formation, evolution and clustering of galaxies and quasars
TLDR
It is shown that baryon-induced features in the initial conditions of the Universe are reflected in distorted form in the low-redshift galaxy distribution, an effect that can be used to constrain the nature of dark energy with future generations of observational surveys of galaxies. Expand
Tracing galaxy orbits back in time
To test the assumption that galaxy clustering grew by gravity, a way to predict the motions is needed. The method presented here chooses trial orbits to minimize the action given the observedExpand
The hierarchical formation of the brightest cluster galaxies
We use semi-analytic techniques to study the formation and evolution of brightest cluster galaxies (BCGs). We show the extreme hierarchical nature of these objects and discuss the limitations ofExpand
The Variety of Solutions for Dynamics in the Local Group
This exploration of solutions for the orbits of Local Group galaxies under the cosmological initial condition of growing peculiar velocities and fitted to measured distances, redshifts, and properExpand
...
1
2
...